KADI SARVA VISHWAVIDYALAYA
GANDHINAGAR
Syllabus for
M.Sc. Physics
July 2014
(2 Years Full Time: 4 Semesters Programme)
LDRP Campus, Sector-15, Nr. KH-5 Circle,
Gandhinagar - 382015
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About the Trust
“Sarva Vishwavidhyalaya Kelavani Mandal” the trust which has been in existence for more
than eight decades is a well reputed prestigious educational trust in North Gujarat. The alumni
of SVKM has managed and nurtured the trust to its present eminence.
The trust was formed in 1919, and commenced its activities with a school and student
residential “Ashram” at Kadi in 1921 through the generous donation from the society and
through the visionary efforts of “Chhaganbha” who is the establisher of the Mandal.
The trust has setup as many as 30 different educational institutions, ranging from Primary
schools to postgraduate courses. Engaged in the right pursuit of contributing to the noble cause
of education the trust, which started with a school and a handful of students, has today to its
credit two mega campuses at Kadi and Gandhinagar. More than 50,000 young students are
being groomed at these campuses.
Having provided primary, secondary and higher secondary for almost seven decades, the trust
has started imparting higher education and being sensitive to the needs of environment, has
added technology, management and computer oriented courses to prepare youth of the region
to take up the challenges of the future.
Be
it
quality
of
students,
quality
of
faculty
or
quality
of
infrastructure
at
Sarva Vishwavidhyalaya Kelavani Mandal, nothing would be less par excellence. With the
co-operation from its Alumni settled across the globe, the trust is committed to attain higher
and higher standards of quality education to serve the coming generation.
About Kadi Sarva Vishwavidyalaya (KSV)
Kadi Sarva Vishwavidyalaya (KSV) is a University established vide Gujarat State Government
Act 21 of 2007 in May 2007 and approved by UGC (Ref.: F. 9-18/2008(cpp-1) March
19,2009).
The University has been setup by Sarva Vidyalaya Kelavani Mandal, a trust with more than
95 years of philanthropic existence to achieve the following objectives:
 To provide need based education and develop courses of contemporary
relevance.
 To be a University of excellence by providing research based activities
which would foster higher economic growth.
 To provide education to all irrespective of caste, creed, religion etc
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MASTER OF SCIENCE (PHYSICS)
(1)
Learning outcomes (objectives and aim)
This program leading to this degree provides the opportunities to develop and
demonstrate knowledge and understanding of the fundamental and advanced content
in Physics which will be determined by his /her particular choice of courses, according
to his/her particular needs and interests.
Cognitive skills:
When one has completed this degree he/she will be able to:

Understand how to solve some problems using the methods taught

Assimilate complex Physical ideas, concepts and arguments

Develop abstract and research based Physical thinking

Develop physical and scientific intuition.
Practical and/or professional skills and Key Skills:
When one has completed this degree he / she will be able to demonstrate the following
skills:

The ability to advance own knowledge and understanding through
independent learning

Communicate clearly knowledge, ideas, concepts and conclusions about Physics

Develop problem-solving skills and apply them dependently to problems in
pure, applied and applicable Physics

Communicate effectively in writing about the subject

Improve his/her own learning and performance.
(2)
Duration of the course:
The CBCS pattern M.Sc. programme with multidisciplinary approach in Physics is
offered on a fulltime basis. The duration of the course is of two academic years
consisting of four semesters each of 15 weeks duration.
(3)
Teaching and learning methods:
All relevant material is provided and taught in the course texts through the study of set
books. Various Modern resources will be provided to enhance his/her skill. One will
build up knowledge gradually, with sufficient in text examples to support one’s
understanding. He/ She will be able to assess his/her own progress and understanding
by using the in- text problems and exercised at the end of each unit. Opportunity to
engage with what is taught is provided by means of the assignment questions and
understanding will be reinforced by personal feedback from the teacher in the form of
comments based on the answers to one’s assignments, seminars, unit tests and project.
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(4)
Course of study:
The curriculum has seven major components:
1.
Core/Principal/Fundamental Physics courses
2.
Pure Physics Courses
3.
Applied Physics Courses
4.
Applicable/Application Oriented Physics Courses (disciplinary)
5.
Soft Skill Based Courses (Inter-disciplinary)
6.
Choice Based Coursed (Disciplinary/Inter disciplinary)
7.
Cognitive Skill- Work Based Courses
There are several courses prescribed in the following classification to be studied to
acquire M.Sc. Degree in Physics.
(I)
Principal /Core/Compulsory Courses (HARD CORE):
(MPC101 to MPC106) –Semester 1 & 2 only
All Basic/Core courses carry 4 credits in 4 hours per week teaching and in each
semester, any two core courses to be selected from the list of MPCG Group (various
groups are listed in detail syllabus) with no repetitions i.e. there are total 10 Physics
Core Courses to be selected from semester- I to semester IV.
(II)
Elective Disciplinary courses (SOFT CORE):
(MPE101 to MPE105) –Semester 1 & 2 only
All elective courses carry 4 credits in 4 Hours per week teaching. During the span of
the program, there are 4 Physics Elective Courses which are covering the three major
components Pure Physics Group, Applied Physics Group, Inter disciplinary &
Applicable Mathematical Group.
(III)
Cognitive Skills Work Project/Dissertation Work for Research Problem
This is also described in detail syllabus at the end.
(5) Assessment and examination method:
A candidate understands of principals and concepts will be assessed through Internal
Assessment (IA) and University Exam (UE) pattern as follow:
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
Internal Assessment (IA) :
The Continuous Internal Assessment (CIA) will be done by the course teaches and this
will be evaluated on the basis of Seminars of equal weightage in each course as well
as through quiz, assignments, written test and other physics aptitude tests.

University Examination (UE) :
There shall be four semester examinations, one at the end of each semester in each
academic year. A candidate who does not pass the examination in any course (s) in a
semester will be permitted to appear in such failed course (s) also, with subsequent
semester examinations: University Examination (UE) only.
Classifications of IA & UE for different courses of different credits are:
1. Courses of 4 Credits = 70 (UE) +30 (IA) = 100 marks. (Theory)
2. Courses of 5 Credits = 70 (UE) +30 (IA) = 100 marks. (Practical)
3. Courses of 5 Credits = 50 (UE) + 50 (IA) = 100 marks. (Research Project &
Seminar)
(6)
1.
Rules and regulations
Candidates for admission to the Master of Science (Physics) must have a
Bachelor's degree with Physics as principle subject of minimum three year duration.
2.
The duration of the course will be full time two academic years. The
examination for the Master of Science (Physics) course will be conducted under the
semester
system. For this purpose the academic year will be divided into two
semesters. No candidate will be allowed to join any other fulltime course
simultaneously.
3.
No candidates will be admitted to any semester examination for Master of
Science (Physics) unless it is certified by the HOD, M.Sc.(Physics) that he/she has
attended the courses of study to the satisfaction of the HOD, M.Sc. (Physics). For
granting the terms, minimum attendance of 70% of the theory, lectures and practicals
will be required out of the total number of lectures and practicals conducted in the
terms.
4.
Candidates desirous of appearing at any semester examination of the
M.Sc.(Physics) course must forward their application in the prescribed form to the
Registrar, through the HOD, M.Sc. (Physics) on or before the date prescribed for the
purpose under the relevant intimation of the University.
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5.
For any Semester, the maximum marks in any subject(s) for the internal and
external assessments shall be shown in the teaching and examination scheme for each
individual subjects. For the purpose of internal assessment, tests, quizzes, assignment
or any other suitable methods of continuous evaluation may be used by the
department. If a student keeps term and does not appear for examinations as well as if
he/she fail to reappear in the re-test (block test) examination in the same academic
session, his/her internal in the relevant subject(s) would be considered as ABSENT
(INCOMLETE grade “I”). The department will submit the internal marks of all
subject(s) as per the notification of the University.
6.
No candidate will be permitted to reappear at any semester examination, which
he/she has already passed.
7.
To obtain the Degree of Master of Science (Physics), student should clear all the
four semester examinations within a period of four years from the date of his/her
Registration. Failing which, he/she shall be required to register himself/herself as a
fresh candidate and keep the attendance and appear and pass in the four semester
examinations afresh from first semester onwards in order to obtain the Degree of
Master of Science (Physics).
8.
There shall be an Examination at the end of each of the four semesters to be
known as First semester Examination, Second semester Examination, Third semester
Examination and Fourth semester Examination respectively, at which a student shall
appear in that portion of papers practical and Viva- Voce if any, for which he/she has
kept the semester in accordance with the regulations in this behalf.
A candidate, whose term is not granted for whatsoever reason, shall be required to
keep attendance for that semester or terms when the relevant papers are actually taught
at the department.
9.
No candidates will be allowed to reappear in a subject/course in which he/she
has already passed. He /She can reappear only for the examination i.e. Internal or
University examination in which he/she has failed. His/ Her marks in the examination
passed will be carried forwarded.
(7)
1.
Rules for grading
Theory Subjects and Practical Subjects are allotted credits as per the hours
allocated to them per week. (i.e. 1 hr/week = 1 Credit).
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2.
To pass a subject in any Semester a candidate must obtain a minimum of 40%
of marks under each head of the subject and minimum of 40% in the individual
subject head.
3.
If a candidate fails in any heads of a subject, he has to appear for that particular
head to pass. (That is, for example if candidate fails in midterm exam of a subject, he
has to reappear for midterm of that subject.)
4.
The performance of each candidate in all the subjects will be evaluated on 7-
point scale in term of grades as follow:
Sr.No.
1
2
3
4
5
6
7
8
Grading Scheme
Percentage
Grade
Grades
according
Points
to Grade
A+
90-100
10
A
80-89
9
A70-79
8
B+
60-69
7
B
50-59
6
B40-49
5
F
Less Than 40
0
I
Incomplete
Qualitative
Meaning
of Grade
Outstanding
Excellent
Very Good
Good
Average
Fair
Fail
Award of class:
The class awarded to a student with his/her M.Sc. (Physics) course is decided by
his/her final CPI as per the following table:
Distinction
CPI not less than 7.50
First Class
CPI less than 7.50, but not less than 6.50
Second Class
CPI less than 6.50, but not less than 5.50
Pass Class
CPI less than 5.50, but not less than 5.00
Semester Performance Index (SPI)

The performance of a student in a semester is expressed in terms of the
Semester Performance Index (SPI).
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
The Semester Performance Index (SPI) is the weighted average of course
grade points obtained by the student in the courses taken in the semester. The
weights assigned to course grade points are the credits carried by the
respective courses.
g1 c1 + g2 c2 + ……
SPI =
c1 + c2 +......

Where g1, g2 …… are the grade points obtained by the student in the
semester, for courses carrying credits c1, c2 …… respectively.
Cumulative Performance Index (CPI)
The cumulative performance of a student is expressed in terms of the Cumulative
Performance Index (CPI). This index is defined as the weightage average of course
grade points obtained by the students for all courses taken since his admission to the
program, where the weights are defined in the same way as above.
If a student repeats a course, only the grade points obtained in the latest attempt are
counted towards the Cumulative Performance Index.
(8) For any Semester the maximum marks for the internal and external assessments
shall be shown in the teaching and examination scheme. The Continuous Internal
Assessment (CIA) will be done by the course teaches and this will be evaluated on the
basis of Seminars of equal weightage in each course as well as through quiz,
assignments, written test and other physics aptitude tests.
(9)
Semester Passing Scheme:

For each semester examination, a candidate will be considered as pass/clear if
he/she has secured “B-” OR above grade in the Internal as well as in the
University Examination separately in each course of theory, practical and
Project work.

For each semester examination, a candidate will be considered as fail if he/she
has secured “F” grade in any or all of the subject(s).

If the candidate does not fulfill the subject requirements, he/she will be given
I-grade and the candidate will have to complete the course requirement before
the commencement of the next semester-end examination. If the candidate
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does not clear I grade in any subject, he/she will be considered fail – F grade.
Candidate has to clear his / her ‘F’ grade or ‘I’ grade, if any, in the next
examination.
(10) Semester Promotion Scheme
A candidate will be promoted to the subsequent Semester according to following
scheme:

A candidate would be granted admission to the Second Semester irrespective
of the result of First Semester. He/She will be permitted to pursue his/her study
of the Second Semester, provided his/her term for the first semester is granted
and applied for the university examination.

A candidate would be granted admission to the Third Semester if and only if
he/she has cleared all the subjects of First Semester and irrespective of the
result of Second Semester. He/She will be permitted to pursue his/her study of
the Third Semester, provided his/her term for second semester is granted and
applied for the university examination.

A candidate would be granted admission to the Fourth Semester if and only if
he/she has cleared all the subjects of Second Semester. He/She will be
permitted to pursue his/her study of the Fourth Semester, provided his/her term
for third semester is granted and applied for the university examination.

The final degree would be awarded to the student on successful completion of
all the Semester.
(11)
Following criteria would be followed for awarding the mark statement of
any Semester:

The Grade (Mark) sheet will contain separate grades internal and University
examination for each of compulsory papers (subjects), Practical work, Project
Work and overall grade for all the subjects combined.

It will also contain percentage and the class obtained. The percentage will be
calculated on the basis of cumulative performance index (CPI) obtained by
candidate.

CPI will be shown in each semester’s Grade (mark) sheet for each endsemester examination.
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(12)
Subject wise Grade and grade points will be calculated based on the
Grading Scheme defined. For example:FOR SEMESTER-1
Subjects
A
B
C
D
E
F
G
Total
Marks
In
Marks
secured perce
(Int+Ext) (Int+Ext) ntage
100
100
100
100
150
100
100
Grade Points Subject
as per
wise
grade credit
points
75
75.00
A8
64
64.00
B+
7
82
82.00
A
9
54
54.00
B
6
73
49.00
B5
80
80.00
A
9
72
72.00
A8
Total
SPI: 218 / 30 = 7.27 , CPI = 7.27
4
4
4
4
6
4
4
30
Product of
credit points
and grade
Points
(Total credits)
32
28
36
24
30
36
32
218
FOR SEMESTER-2
Subjects
Total
Marks
(Int+Ext)
A
B
C
D
E
F
G
100
100
100
100
150
100
100
Marks
secured
(Int+Ext)
In
perce
ntage
Grade Points Subject
as per
wise
grade credit
points
82
82.00
A
9
76
76.00
A8
71
71.00
A8
65
65.00
B+
7
45
30.00
F
0
52
52.00
B
6
44
44.00
B5
Total
SPI: 172 / 30 = 5.73, CPI: 6.50 (As Follow)
Semester
Sem-I
Sem-II
Total SPI
CPI (SPI/2)
4
4
4
4
6
4
4
30
Product of
credit points
and grade
Points
(Total credits)
36
32
32
28
0
24
20
172
Points of sem (SPI)
7.27
5.73
13.00
6.50
In this case, the candidate is failing in one subject i.e. Project-II, and he/she has
secured 5.23 SPI for semester II and 7.27 CPI for semester I and II both. Whenever
Page | 10
the candidate clears the subject i.e. Project-II in the next semester examination, the
total credits for that subject will be add to CPI of the candidate.
10. To calculate the final grade of the course, CPI will be calculated as follows:–
SEMESTER
POINTS OF SEM
(SPI)
SEM-1
SEM-2
SEM-3
SEM-4
Total SPI
CPI
6.79
5.30
8.33
5.56
25.98
6.50
CPI: 6.50
Class of M.Sc. Physics Course will be now – ‘First’ as it falls in that range.
(13) Career scope
There are numbers of opportunities in various fields after successfully completed the
program. Physics is the basic need of any natural sciences so this course has
significant role in the society.

Physics finds a wide application in industry, atomic and space organizations,
forensic science, meteorology, electronics, design & development engineering,
research laboratories.

It also has considerable commercial and military value.

Physicists are mainly involved in (R&D) research and development in
specialized branches such as elementary particle physics, astrophysics, nuclear
physics, biotechnology, etc.

National laboratories and organizations like BARC, DRDO, SSPL, ISRO,
Space Application Centres (SAC), National Atmospheric Research laboratory
of department of space, Inter university accelerator centres (IUAC), Indira
Gandhi Centre for atomic research (IGCAR) Kalpakkam, Raja Ramanna
Centre for advanced Technology (RRCAT) Indore, Variable Energy Cyclotron
Centre (VECC) Calcutta, Uranium Corporation of India Limited, Nuclear
Power Corporation of India Limited, Nuclear fuel complex, Heavy Water
Board, Atomic mineral directorate; PRL Ahmedabad, IPR Gandhinagar,
IUCAA, Saha Institute of Nuclear Physics Calcutta, ARIES, Uttrakhand,
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Indian Institute of Geomagnetism, Centre for Liquid Crystal Research
(CLCR), UGC DAE CSR; Constituent laboratories & institutes of CSIR like
National Physical Laboratory (NPL), National Geophysical Research Institute,
Regional Research Laboratories, National Institute of Science, Technology and
Development Studies (NISTADS), Institute of Materials & Mineral
Technology (IMMT), National Institute of Science Communication and
Information
Resources
(NISCAIR),
etc.
provides
enormous
career
opportunites as scientist/director/research fellow/research associate/research
assistant/technician. Etc. in these laboratories and institutes.

Agricultural research services with soil physics & agricultural physics as
specialization.

A growing number of physicists specialize in biophysics, chemical physics,
radio physics, astrophysics and related sciences.

Besides going in for research, one could also teach in colleges/universities for
which the minimum requirement is M.Sc Physics and qualifying the UGCCSIR NET/Ph.D. for lectureship and JRF.

MSc followed by a BEd will enable to teach at the high school level.

M.Sc Physics students are also eligible for pursuing M.Tech (in a host of
engineering/technology
disciplines
including
aeronautical,
automobile,
instrumentation, electronics & communication, or computer science at leading
institutions including the IITs after taking the GATE (Graduate Aptitude Test
in Engineering).

Postgraduate diplomas in leather, sugar, plastics, processing, packaging or
environment technology are some other options one could look at.

Moreover, the skills developed while studying Physics, particularly the ability
to research, evaluate and communicate information, will hold in good position
in any field to train for - be it management, information technology, or
aviation.

Civil Services as well as the Indian Forest Service Exams with Physics as one
of the papers in the Mains examination.

Software field especially game developer (motion specialist) has more
prospectuses.
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(14) Recognition of lecturer, examiner & evaluator
Expert with the following qualifications and experience shall be eligible to be
recognized to teach, examine and evaluate:
(A) Ph.D. holder in Physics or Person having M.Phil degree in Physics or Person
having M.Sc. degree in Physics and who has cleared NET or SLET Examination are
eligible as full time Assistant professor.
(B) Person having B+ (Minimum 55%) at M.Sc. in Physics and having 5 years
experience of teaching at graduate level are eligible as examiner or evaluator.
(15) Semester Promotion Scheme
Promotion to
Conditions for Promotion
Sernester-2
Term of semester-1 is granted
Semester-3
Term of semester-1 and 2 both are granted
Semester-4
Pass in all subjects of semester-1;
and Term of semester-2 and 3 both are granted
The final degree would be awarded to the student on the successful completion of all
the semesters.
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(16) Course structure
Sr.
No.
Subject Title
Subject
Code
Teaching
Scheme
Examination
Scheme
Internal
University
Assessment
Exam
(IA) Marks (UE) Marks
1
Classical Mechanics
MPC101
Hours per
Week
L
Pr.
4
-
2
Quantum Mechanics-I
MPC102
4
3
4
Mathematical Physics &
MPC103
Computational Techniques-I
Elective-I*
MPE104
5
Practical-I
6
Research Project-I &
Seminar
Total
Marks
Credit
Semester-1
30
70
100
4
-
30
70
100
4
4
-
30
70
100
4
4
-
30
70
100
4
MPC105
-
9
30
70
100
5
MPC106
-
9
50
50
100
5
16
18
200
400
600
26
Total Contact hours per week = 34
L = Theory Lecture
Total Marks = 600
Pr. = Practical/Research Project/Seminar
Teaching
Scheme
Examination
Scheme
Internal
University
Assessment
Exam
(IA) Marks (UE) Marks
MPC201
Hours per
Week
L
Pr.
4
-
MPC202
4
4
Mathematical Physics &
MPC203
Computational Techniques-II
Elective-II*
MPE204
5
Practical - II
6
Research Project – II &
Seminar
Sr.
No.
1
2
3
Subject Title
Electrodynamics & Plasma
Physics
Quantum Mechanics - II
Subject
Code
30
70
100
4
-
30
70
100
4
4
-
30
70
100
4
4
-
30
70
100
4
MPC205
-
9
30
70
100
5
MPC206
-
9
50
50
100
5
16
18
200
400
600
26
Total Contact hours per week = 34
L = Theory Lecture
Total
Marks
Credit
Semester-2
Total Marks = 600
Pr. = Practical/Research Project/Seminar
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List of courses in various groups offered in different semester-1 & Semester-2.
MPC (Semester 1-2)
1. Classical Mechanics
2. Quantum Mechanics-I
3. Mathematical Physics-I
4. Quantum Mechanics-II
5. Mathematical Physics-II
6. Electrodynamics & Plasma Physics
MPE (Elective -I) (Semester 1)
A. Solid State Electronic Devices
B. Atomic Molecular and Laser Physics
MPE (Elective-II) (Semester 2)
A. Analog & Digital Electronics
B. Econophysics
SSG
1.
Computational Techniques-I (Programming in C/SCILAB)
2.
Computational Techniques-II (Programing in IDL)
3.
Physics Practicals-I
4.
Physics Practical-II
5.
Research Project-I and Seminar
6.
Research Project-II and Seminar
Cognitive Skills Work Project /Dissertation Work for Research Problem
1.
Minor Research Project work in semester-1, semester-2 and semester-3.
2.
Major Research Project and Dissertation work in semester-4.
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DETAIL SYLLABUS
SEMESTER 1
Name of Course: Classical Mechanics-I
Classical Mechanics
MPC101
L
Pr.
4
-
60
Examination Scheme
Internal
Assessment
(IA)
Max.
Marks
30
Hrs
1.5
University
Exam
(UE)
Max.
Marks
70
Total
Marks
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
Hrs.
3
100
4
Rationale:
The objective of this course is
 To understand and be able to apply the conceptual structure of classical Mechanics.
 To gain skill in problem solving and critical thinking.
 To understand various different forms and methods - Newtonian mechanics, Lagrangian
Mechanics and Hamiltonian Mechanics which are used according to which provides the
answer most easily and conveniently
Learning Outcomes
After studying this subject, student will be able to
 To explain most of the phenomena we encounter in day-to-day activities.
 In machines and parts of machines, in sports, in simple processes like using simple
machines, processes like designing a mechanical system.
 In very complex applications like launching rockets and satellites too, the principles of
classical mechanics play a very important role. The laws have been cast into various
different forms and methods - Newtonian mechanics, Lagrangian Mechanics and
Hamiltonian Mechanics these methods are used according to which provides the answer
most easily and conveniently.
Course Content:
Unit: 1
(Lecture Hours: 15/Weightage: 25%)
Generalized co- ordinates, Holonormic, Non holonormic, Rheonomous and scleronomous
constraints, Derivation of Largrange’s equations from D’ Alembert’s principle. Velocity
dependent potentials (electromagnetic case to be omitted), Rayeigh’s dissipation function and
application, Hamilton’s principle and derivation of Largrange’s equations from Hamilton’s
principle.
Unit: 2
(Lecture Hours: 15/Weightage: 25%)
Canonical Transformation
Canonical transformation and Hamilton Jacobi theory : Gauge transformation,
Canonical transformation, condition for transformations to be Canonical. Poission bracket,
canonical equations in terms of Poisson bracket notation, Relation between infinitesimal
transformation and Poisson brackets. The Hamilton Jacobi equations, Separation of
variables, Action angle variables, Properties of action angle.
Page | 16
Unit: 3
(Lecture Hours: 15/Weightage: 25%)
Rotating frames and small oscillations
Euler's angles, Motion of a symmetric top. General case of coupled oscillations, Eigen vectors
and eigen frequencies, orthogonality of eigen vectors, normal coordinates, small oscillations
of particles on string
Unit: 4
(Lecture Hours: 15/Weightage: 25%)
Non Linear Oscillations and Chaos
Introduction, Singular Points of Trajectories, Nonlinear Oscillations, Volter’s Problem, Limit
cycle, Chaos, Logistic Map, Poincare System, Strange attractors.
Reference Books:
1. Classical Mechanics, H. Goldstein, 3rd Edition, Narosa Publication
2. Classical Mechanics, N. C. Rana and P. S. Joag. Tata McGraw Hill Publication.
3. Classical Mechanics , S. N. Biswas, Allied Publishers (Calcutta).
4. Classical Mechanics, V. B. Bhatia, Narosa Publishing.
5. Mechanics, Landau and Lifshitz, Butterworth, Heinemann.
6. The Action Principle in Physics, R. V. Kamat, New Age Intnl.
7. Classical Mechanics, Vol I and II, E. A. Deslougue, John Wiley.
8. Theory and Problems of Lagrangian Dynamics, Schaum Series, McGraw.
9. Classical Mechanics of Particles and Rigid Bodies, K. C. Gupta, Wiley Eastern.
Page | 17
Name of Course: Quantum Mechanics-I
Quantum Mechanics-I
MPC102
L
Pr.
4
-
60
Examination Scheme
Internal
Assessment
(IA)
Max.
Marks
30
Hrs
1.5
University
Exam
(UE)
Max.
Marks
70
Total
Marks
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
Hrs.
3
100
4
Rationale:
The objective of this course is
 To understand and be able to apply the conceptual structure of quantum Mechanics.
 To gain skill in problem solving and critical thinking.
 To describe the behavior of matter and energy at atomic and sub-atomic scale.
Learning Outcomes
After studying this subject, student will be able to
 Explain the structure of the atom and the structure of the nucleus.
 Predict the existence of antimatter, and explains radioactivity
 Explains the photoelectric effect, whereby electrons are emitted from matter as a result of
absorbing energy from light - this occurs in human vision, and has practical applications in
digital cameras.
 Used in night vision goggles and 'scanning tunneling microscopes' (which create images of
surfaces where individual atoms can be seen)
Course Content:
Unit:1
(Lecture Hours: 15/Weightage: 25%)
Approximation Methods for Stationary States : Perturbation theory for discrete levels,
Equations in various orders of perturbation theory, Non - degenerate case, Degenerate
case - removal of degeneracy, Effect of an electric field on the energy levels of an atom
(Stark effect), Two - electron atoms. Illustrative examples.
Unit: 2
(Lecture Hours: 15/Weightage: 25%)
The variation method : Upper bound on ground state energy, Applications to excited states,
Trial function linear in variational parameters, The Hydrogen molecule, Exchange interaction.
Illustrative examples.
Unit: 3
(Lecture Hours: 15/Weightage: 25%)
WKB. Approximation : One - dimensional Schrodinger equation, Bohr -Sommerfeld quantum
condition, WKB. solution of the radial wave equation.
Evolution with time : Exact formal solutions : Propagators, Schrodinger equation : general
solution, Propagators, Alteration of Hamiltonian, transitions and sudden approximation.
Illustrative examples.
Page | 18
Unit: 4
(Lecture Hours: 15/Weightage: 25%)
Quantum dynamics, Atoms and Molecules: The equations of motion, The Schrödinger picture,
The Heisenberg picture, Indistinguishable particles, Pauli principle, Inclusion of spin, Spin
functions for two electrons, Spin functions for three electrons, The Helium Atom, Central
field approximation, Thomas - Fermi Model of the atom, Hartree equation, Hartree Fock
equations.
Reference Books:
1. A text book of Quantum Mechanics, by P.M. Mathews and K. Venkatesan (TMH)
2. Quantum Mechanics - by L.I. Schiff
3. Quantum Mechanics by A.K. Ghatak and L.S. Kothari
4. Quantum Mechanics by Powell and Crasemann
5. Quantum Mechanics by Franz Schwabl
6. Introduction to Quantum Mechanics, by B.H. Bransden and C.J. Joachain
7. Introduction to Quantum Mechanics, by David J. Griffiths
8. Quantum Mechanics – An Introduction by Greiner 4th Ed. Indian Reprint, Springer
(India) Pvt. Ltd. New Delhi, India.
9. Quantum Mechanics by B K Agarwal and Hari Prakash, Prentice Hall of India.
Page | 19
Name of Course: Mathematical Physics & Computational Techniques-I
Mathematical Physics &
Computational Techniques-I
MPC103
L
Pr.
4
-
60
Examination Scheme
Internal
Assessment
(IA)
Max.
Marks
30
Hrs
1.5
University
Exam
(UE)
Max.
Marks
70
Total
Marks
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
Hrs.
3
100
4
Rationale:
The objective of this course is
 To understand and be able to apply the conceptual structure of Mathematical Physics &
Computational Techniques in the field Physics.
 To gain skill in problem solving and critical thinking.
 To understand the applications of mathematical methods in physics.
 Use Computational Techniques for solving various problems in physics.
Learning Outcomes
After studying this subject, student will be able to
 Use ordinary differential equations, symplectic geometry etc to understand dynamical
systems and Hamiltonian mechanics belong to mathematical physics.
 Expand and elucidate physical theories.
Course Content:
Unit: 1
(Lecture Hours: 15/Weightage: 25%)
Introduction, Analytical Function, Theorems, Illustrative examples, Contour Integral
Theorem, Cauchy’s Integral Formula Theorem, Illustrative examples, Laurent Series
Theorem, Method of finding residues. The Residue Theorem, Evaluation of Definite,
Integrals by use of the residue theorem, Examples, Argument principle Example,
Additional illustrative examples, The point at infinity, residue at infinity, Mapping
Examples, Conformal mapping, Some Application of conformal Mapping examples,
Additional illustrative examples.
Unit: 2
(Lecture Hours: 15/Weightage: 25%)
Integral transforms, Fourier transform and its properties as well as applications such as
Gaussian function, finite wave train, etc., Convolution theorem, momentum representation,
Laplace transform and its properties, Laplace transforms of some elementary functions and
derivatives including some applications in the problems of physics e. g. step function, simple
harmonic oscillator, damped oscillator- RLC analogy etc.
Unit: 3
(Lecture Hours: 15/Weightage: 25%)
Programing in C;
Constant, Variables and data types, Operators and expressions, Managing input and output
operators, Conditional statements, Decision making and branching, Decision making and
looping, array manipulation.
Page | 20
Unit: 4
(Lecture Hours: 15/Weightage: 25%)
Numerical Methods – Newton Raphson method, Regula Falsi method, Trapazoidal method,
Simpson’s 1/3-2/3 method, Runge-Kutta method (ODE solver), Implementation of methods in
Scilab/Octave environment.
Reference Books:
1. Mathematical Methods for Physicists by G. Arfkenand Weber, Academic Press, 6th Ed.
2. Mathematical Physics by P. K. Chattopadhyay, Wiley Eastern Limited.
3. Vector Analysis Murray Spiegel (Schuam Series).
4. Mathematical Methods in Physical Sciences by M. L. Boas, Second Edition, John
Wiley & Sons.
5. A.K. Ghatak, I.C. Goyal and S.J. Chua, Mathematical Physics, McMillan
6. A.C. Bajpai, L.R. Mustoe and D. Walker, Advanced Engineering Mathematics, John
Wiley
7. E. Butkov, Mathematical Methods, Addison Wesley
8. J. Mathews and R.L. Walker, Mathematical Methods of physics
9. P. Dennery and A. Krzywicki , Mathematics for physicists
10. T. Das and S.K. Sharma, Mathematical methods in Classical and Quantum Mechanics
11. R. V. Churchill and J.W. Brown, Complex variables and applications, V Ed. Mc Graw.
Hill.
12. A.Joshi, Matrices and Tensors in Physics, Wiley India
13. Programming in ANSIC” by E. Balagurusamy, The Mcgraw- Hill Pub. Co. Ltd.
14. Computer programming in C” by V Rajaraman, PHI.
15. The C Programming Language” by B. W. Kernighan and B. M Ritchie. Prentice- Hall.
16. The C Primer” by L. Hancock and M. Krieger, McGraw- Hill.
Page | 21
Name of Course: Solid State Electronic Devices (Elective)
Solid State Electronic
Devices
MPE104A
L
Pr.
4
-
60
Examination Scheme
Internal
Assessment
(IA)
Max.
Marks
30
Hrs
1.5
University
Exam
(UE)
Max.
Marks
70
Total
Marks
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
Hrs.
3
100
4
Rationale:
The objective of this course is
 To understand and be able to apply the conceptual structure of Solid State Electronic
Devices.
 To gain skill in problem solving and critical thinking.
 To understand the application of Solid State Electronic Devices in day to day life.
Learning Outcomes
After studying this subject, student will be able to
 Understand physical interpretation of Solid State Electronic Devices.
 Understand the application of Solid State Electronic Devices in computer, Aircraft
technology and electronics, Satellites and electronics, Television, Internet technology etc.
Course Content:
Unit: 1
(Lecture Hours: 15/Weightage: 25%)
Contact between materials and pn Junctions, Contact between two materials - MetalsSemiconductors contacts, I/V characteristics, thermoelectric effects, The pn Junction equilibrium conditions, zero bias, forward bias and reverse bias, The effect of temperature on
diode characteristics, diode equivalent circuits, properties of the depletion layer, abrupt
junction, junction potential, width of depletion layer and depletion layer capacitance, reverse
breakdown mechanism, Graded junctions, practical pn junction.
Unit: 2
(Lecture Hours: 15/Weightage: 25%)
Bipolar junction Transistor - emitter efficiency and base transport factor, d.c. characteristics of
a transistor, C-B characteristic, distribution of excess charge in base, variation of current gain
with collector current, common emitter characteristics, transistor breakdown voltages, The
Ebers-Moll model, charge control of a transistor, measurement of ‫ז‬B and ‫ז‬C, The hybrid π
equivalent circuit of BJT.
Unit: 3
(Lecture Hours: 15/Weightage: 25%)
Diode as clipper, Diode as a clamper circuit, Diode as a switch, Reverse Recovery time of
diode, light absorption in semiconductors, Light Dependent Resistor, photodiode, phototransistor and Light Emitting Diode, liquid crystal display devices, solar cells.
Unit: 4
(Lecture Hours: 15/Weightage: 25%)
Operational amplifiers, frequency compensation, op-Amp switching application, op-Amp
inverter, precision rectifier, peak clipper, Schmitt trigger, UTP, LTP and adjustment,
comparator, monostable and astable multivibrator using OPAMP.
Page | 22
Reference Books:
1. Electronic Devices and Components, by J Seymore (Longmann Scientific & Technical)
2. Integrated Electronics, by K. R. Botkar, (Khanna Publishers.)
3. Integrated Electronics: Analog and Digital Circuits Systems, by J Millman and C. C.
Halkias (Tata McGraw -Hill Publishing Company Ltd.)
4. Solid State Pulse Circuits, by David A. Bell (Prentice Hall of India Pvt. Ltd)
5. Energy Technology (Non conventional, Renewable and conventional), by S. Rao and Dr. P.
B. Parrulkar (Khanna Publishers.)
Page | 23
Name of Course: ATOMIC MOLECULAR & LASER PHYSICS (Elective)
Atomic Molecular and MPE104B
Laser Physics
L
Pr.
4
-
60
Examination Scheme
Internal
Assessment
(IA)
Max.
Marks
30
Hrs
1.5
University
Exam
(UE)
Max.
Marks
70
Total
Marks
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
Hrs.
3
100
4
Rationale:
The objective of this course is to study
 Schrödinger equation for One-electron atoms, Two-electron atoms, Many-electron atoms.
 Physics in global warming and ozone ‘hole’ problems.
 Classical view of Einstein coefficients
Learning Outcomes
After studying this subject, student will be able to
 Understand the basic of elementary processes atomic molecular and Laser which are
important in many fields e. g. trace analysis, plasma and gas discharge physics, gaseous
dielectrics and laser media, and physics of the atmosphere.
Course Content:
Unit: 1
(Lecture Hours: 15/Weightage: 25%)
Resume of the Schrödinger equation for One-electron atoms, Atomic unit system, Energy
levels for H atom, special hydrogenic systems, interaction of one-electron atoms with
electromagnetic radiation - the dipole selection rules. Fine structure of hydrogenic atoms, The
Lamb shift and its determination, Hyperfine structure and isotopic shifts.
Schrödinger equation for Two-electron atoms, the role of Pauli Exclusion Principle, Energy
levels of He atom, Doubly excited states, Auto-ionization in He.
Many-electron atoms, electronic configuration shells & sub-shells, Periodic table of atoms and
atomic properties.
Unit: 2
(Lecture Hours: 15/Weightage: 25%)
Thomas-Fermi theory (model) for atoms, Fine structure in many-electron atoms, e.g. Sodium
doublet; General nature of molecular structure, the Born-Oppenheimer approximation,
electronic structure of diatomic molecules; LCAO approximation for H2+ ion and H2 molecule,
Rotation and vibration in diatomic molecules; structure of H2O, NH3, CH4, CO2 and C6H6
molecules. Electronic spectra of diatomic molecules, the potential energy curves and the FrankCondon principle
Physics in global warming and ozone ‘hole’ problems (introductory); Nuclear Magnetic
Resonance and Electron Spin (or paramagnetic) Resonance – theory and applications
Unit: 3
(Lecture Hours: 15/Weightage: 25%)
Classical view of Einstein coefficients, Quantum theory for the evaluation of the transition
rates and Einstein coefficients: Interaction with radiation having a broad spectrum, Interaction
of a near-monochromatic wave with an atom having a broad frequency response, Accurate
solution for the two-level system, Three-level Laser system, Variation of Laser power around
threshold, Optimum output coupling
Page | 24
Unit: 4
(Lecture Hours: 15/Weightage: 25%)
Emission and absorption spectroscopy (introduction); UV-visible-IR absorption in watervapour & liquid; Modern applications of atomic molecular Spectroscopies, He-Ne Laser
(energy level diagram), NH3 maser; atoms and molecules in astrophysics, cold atoms
(introduction).
CO2 Laser, Semiconductor Lasers, Rayleigh and Raman scattering, Stimulated Raman effect,
Hyper-Raman effect: Classical treatment, Quantum mechanical treatment, Coherent anti-stokes
Raman scattering (CARS), Spin-flip Raman Laser, Free-electron Laser
Reference Books:
1. Physics of Atoms and Molecules – by B. Bransden and C. J. Joachain (Pearson Education
Publ – New Delhi).
2. Elements of spectroscopy – by Gupta, Kumar and Sharma (Pragti Prakashan Meerut)
3. Spectroscopy (Atomic and molecular) – by G. Chatwal and S. Anand.
4. Fundamentals of molecular spectroscopy by C. N. Banvel.
5. LASERS Theory and Applications – by K. Thyagarajan and A. K. Ghatak (Macmillan
India Ltd.).
6. Lasers and Non-linear Optics – by B. B. Laud (New Age International (P) Ltd., India,
Second edition) .
7. Atom, Laser & Spectroscopy - by S. N. Thakur & D. K. Rai, PHI Learning Pvt. Ltd. New
Delhi.
Page | 25
DETAIL SYLLABUS
SEMESTER 2
Name of Course: Electrodynamics & Plasma Physics
Electrodynamics &
Plasma Physics
MPC201
L
Pr.
4
-
60
Examination Scheme
Internal
Assessment
(IA)
Max.
Marks
30
Hrs
1.5
University
Exam
(UE)
Max.
Marks
70
Total
Marks
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
Hrs.
3
100
4
Rationale:
The objective of this course is
 To study and be able to apply the conceptual structure of Electrodynamics & Plasma
Physics.
 To provide an introduction to electrodynamics and a wide range of applications including
communications, superconductors, plasmas, novel materials, photonics and astrophysics.
 To study Kinetic theory of plasma.
Learning Outcomes
Students completing this subject should be able to
 Explain classical electrodynamics based on Maxwell's equations including its
formulation in covariant form;
 Solve problems involving the calculation of fields, the motion of charged particles and
the production of electromagnetic waves; and
 Analyze the solution of these problems in the context of a range of applications.
 Understand the peculiar physical characteristics of the plasma, produced by different
ionization systems, three types of processes on the materials can be activated: (1)
Destruction of toxic/harmful materials; (2) Superficial modification of existing
materials; (3) Creation of new materials.
Course Content:
Unit: 1
(Lecture Hours: 15/Weightage: 25%)
Maxwell’s equations in matter, Continuity equation, Poynting theorem – Momentum
conservation, Maxwell’s stress tensor – Angular momentum.
Electromagnetic Waves in Vacuum: Wave equation for E and B fields, Monochromatic plane
waves – Energy & momentum in electromagnetic waves, Polarization of electromagnetic
waves: linear and circular polarization.
Electromagnetic waves in matter: Propagation in linear media- Boundary conditions Reflection
and Refraction – Snell’s law. Reflection and Transmission at normal and oblique incidence –
Fresnel’s equations, Total internal reflections, Absorption and dispersions: EM waves in
isotropic linear conducting media – Reflection at conducting surface
Unit: 2
(Lecture Hours: 15/Weightage: 25%)
Electromagnetic Radiation: Electromagnetic potentials Scalar and vector potentials Gauge
transformations Gauge conditions (Lorentz and Coulomb gauges). Retarded Potentials –
Jefimenko’s equations for the E and B fields.
Page | 26
Radiation from Moving point charges: Lienard-Wiechert potentials- Fields of a moving point
charge- Power radiated by a point charge (Larmor formula), Radiation from a slowly moving
charges – Radiation from relativistically moving charges – Larmor’s generalization to
relativistic case – Synchrotron radiation – Bremstrahlung radiation Scattering of Radiations:
Thomson Scattering – Scattering of radiation from quasi free charges –Cerenkov radiation,
Radiation Reaction: Abraham –Lorentz formula – Physical basis of radiation reaction.
Unit: 3
(Lecture Hours: 15/Weightage: 25%)
Wave Guides and Resonant Cavities: Bounded waves – TE, TM, TEM modes, Rectangular
wave guides –Circular cylindrical wave guides – Resonant cavities, Q of a cavity Dielectric
wave guides (Optical fiber): H E Modes.
Radiations from extended sources: Electric dipole radiation Magnetic dipole and electric
quadrupole radiations, Center-fed linear antenna- Hertzian dipole antenna – Small loop
antenna. Rayleigh’s scattering at long wavelength and blueness of sky- Scalar diffraction
theory – Short wavelength limit – Optical theorem.
Unit: 4
(Lecture Hours: 15/Weightage: 25%)
Kinetic theory of plasma: Equations of kinetic theory – Boltzman equation – Vlasov Equation
– derivation of fluid equations – Plasma oscillations – Landau damping – BGK and Van
Kampen modes; Nonlinear effects in Plasma : Sheaths – Ion acoustic shock waves –
Pondermotive force – Parametric instabilities nonlinear Landau damping. Introduction to
controlled Fusion: Problem of controlled fusion – Magnetic confinement – Toruses, mirrors.Laser fusion – Plasma Heating – Fusion Technology
Reference Books:
1. Classical Electrodynamics by J D Jackson , 2nd Ed; Wiley Eastern Ltd.
2. Introduction to Electrodynamics by David J Griffiths, 3rd Ed Prentice Hall, India,.
3. Classical electromagnetic Theory by Jack Vanderlinde, John Wiley & sons,Inc.
4. Elements of Electromagnetics by Sadiku 2ndEd.Oxford Univ.Press. Inc.
5. Classical Electrodynamics by Grener, Springer Verlag, New York, Inc.
6. Introduction to Plasma Physics by F F Chen, 2nd Ed. Plenum Press, NewYork.
Page | 27
Name of Course: Quantum Mechanics – II
Quantum Mechanics-II
MPC202
L
Pr.
4
-
60
Examination Scheme
Internal
Assessment
(IA)
Max.
Marks
30
Hrs
1.5
University
Exam
(UE)
Max.
Marks
70
Total
Marks
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
Hrs.
3
100
4
Rationale:
The objective of this course is
 To study and be able to apply the conceptual structure of quantum Mechanics.
 To gain skill in problem solving and critical thinking.
 To describe the behavior of matter and energy at atomic and sub-atomic scale.
Learning Outcomes
After studying this subject, student will be able to
 Explain the structure of the atom and the structure of the nucleus.
 Predict the existence of antimatter, and explains radioactivity
 Explain the photoelectric effect, whereby electrons are emitted from matter as a result of
absorbing energy from light - this occurs in human vision, and has practical applications in
digital cameras.
 Used in night vision goggles and 'scanning tunneling microscopes (which create images of
surfaces where individual atoms can be seen)
Course Content:
Unit: 1
(Lecture Hours: 15/Weightage: 25%)
Einstein’s Quantum Theory of Radiation: The interaction picture, Einstein co-efficients,
Momentum transfer, Life time, Possibility of amplification. Time dependent perturbation
theory, Electric dipole interaction, Quantum electrodynamics, Creation and annihilation
operators, Fock states, Quantization of field, Zero point energy, Cohrent state, Description of
the electromagnetic field, Interaction of radiation with matter.
Unit: 2
(Lecture Hours: 15/Weightage: 25%)
Scattering theory : Kinematics of the scattering process : differential and total cross sections
elastic and inelastic scattering, wave mechanical picture of scattering : the scattering
amplitude, Green's functions : formal expression for scattering amplitude. The Born
approximation, validity of the Born approximation, The Born series, The Eikonal
approximation, Asymptotic behavior of partial waves : phase shifts, The scattering amplitude
in terms of phase shift, The differential and total cross sections: optical theorem, Phase shifts
: Relation to the potential, Potentials of finite range, Low energy scattering, scattering by a
square well potential, scattering by a hard sphere, scattering by a coulomb potential, Complex
potential and absorption.
Unit: 3
(Lecture Hours: 15/Weightage: 25%)
Angular Momentum: Eigen value spectrum, Matrix representation of J in the |jm> basis, Spin
angular momentum, Non relativistic Hamiltonian with spin, addition of angular momenta,
Clebsch-Gordan Coefficients, Spin wave functions for a system of two spin 1/2 particles,
Identical particles with spin, addition of spin and orbital angular momenta, Spherical tensors ;
Page | 28
Tensor operators, Wigner Eckart theorem, Projection theorem for a first rank tensor.
Unit: 4
(Lecture Hours: 15/Weightage: 25%)
Relativistic wave Equations : Generalization of Schrodinger equation - Klein -Gordan
equation : Plane wave solutions; - Charge and Current densities - Interaction with
electromagnetic fields; Hydrogen-like atom, -Non relativistic limit - The Dirac equation :
Dirac's Relativistic Hamiltonian – Position Probability density; expectation values - Dirac
matrices - Plane wave splution : Energy spectrum - The Spin of the Dirac particle - Significance
of negative energy states. – Relativistic electron in a central potential : Total angular
momentum - Radial wave equation – Series solutions of the radial equation : asymptotic
behavior - Determination of the energy levels –Spin magnetic moment - Spin-orbit energy.
Reference Books:
1.
2.
3.
4.
5.
6.
7.
8.
A text book of Quantum Mechanics, by P.M. Mathews and K. Venkatesan (TMH)
Quantum Mechanics - by L.I. Schiff
Quantum Mechanics by A.K. Ghatak and L.S. Kothari
Quantum Mechanics by Powell and Crasemann
Quantum Mechanics by Franz Schwabl
Introduction to Quantum Mechanics, by B.H. Bransden and C.J. Joachain
Introduction to Quantum Mechanics, by David J. Griffiths
Quantum Mechanics – An Introduction by Greiner 4th Ed. Indian Reprint, Springer
(India) Pvt. Ltd. New Delhi, India.
9. Quantum Mechanics by B K Agarwal and Hari Prakash, Prentice Hall of India.
10. Quantum Mechanics by V. K. Thankapan
11. Quantum Mechanics by Ghatak & Loknathan; McMillan India Publication
12. Lectures on quantum field theory by Ashok Das (World Scientific).
Page | 29
Name of Course: Mathematical Physics & Computational Techniques-II
Mathematical Physics &
Computational Techniques-II
MPC203
L
Pr.
4
-
60
Examination Scheme
Internal
Assessment
(IA)
Max.
Marks
30
Hrs
1.5
University
Exam
(UE)
Max.
Marks
70
Total
Marks
Credit
Subject Title
Teaching
Total
Scheme Teaching
Hours
Hours
Subject
per
per
Code
Week
semester
Hrs.
3
100
4
Rationale:
The objective of this course is
 To understand and be able to apply the conceptual structure of Mathematical Physics &
Computational Techniques in the field Physics.
 To gain skill in problem solving and critical thinking.
 To understand the applications of mathematical methods in physics.
 Use Computational Techniques for solving various problems in physics.
Learning Outcomes
After studying this subject, student will be able to
 Use ordinary differential equations, symplectic geometry etc to understand dynamical
systems and Hamiltonian mechanics belong to mathematical physics.
 Expand and elucidate physical theories.
Course Content:
Unit: 1
(Lecture Hours: 15/Weightage: 25%)
Matrices, Eigenvalues and Eigen vectors, Diagonalization of Matrices, Application to Physics
problems, Applications to differential equations. Introduction to Tensor Analysis, Addition and
Subtraction of Tensors, summation convention, Contraction, Direct Product, Levi‐Civita
Symbol
Unit: 2
(Lecture Hours: 15/Weightage: 25%)
Differential Equations: Frobenius method, series solutions, Legendre, Hermite and Laguerre
polynomials, Bessel equations, Partial differential equations, separation of variables, wave
equation and heat conduction equation. Green’s functions in one dimension.
Unit: 3
(Lecture Hours: 15/Weightage: 25%)
Introducing IDL Environment, command line operators, help support, script files; IDL
development environment; preparing and running programs (scripts) in IDL; using 2D graphics
in IDL
Unit: 4
(Lecture Hours: 15/Weightage: 25%)
Graphics Transformation; working with colors; working with 3D graphics in IDL; Image
processing in IDL
Page | 30
Reference Books:
1. Mathematical Methods for Physicists by G. Arfkenand Weber, Academic Press, 6th Ed.
2. Mathematical Physics by P. K. Chattopadhyay, Wiley Eastern Limited.
3. Vector Analysis Murray Spiegel (Schuam Series).
4. Mathematical Methods in Physical Sciences by M. L. Boas, Second Edition, John
Wiley & Sons.
5. A.K. Ghatak, I.C. Goyal and S.J. Chua, Mathematical Physics, McMillan
6. A.C. Bajpai, L.R. Mustoe and D. Walker, Advanced Engineering Mathematics, John
Wiley
7. E. Butkov, Mathematical Methods, Addison Wesley
8. J. Mathews and R.L. Walker, Mathematical Methods of physics
9. P. Dennery and A. Krzywicki , Mathematics for physicists
10. T. Das and S.K. Sharma, Mathematical methods in Classical and Quantum Mechanics
11. R. V. Churchill and J.W. Brown, Complex variables and applications, V Ed. Mc Graw.
Hill.
12. A.Joshi, Matrices and Tensors in Physics, Wiley India
13. IDL version 6.0 Edt. Timesaving software for Data Analysis, Data Visualization,
Application Development using IDL
Page | 31
Name of Course: Analog & Digital Electronics (Elective)
Analog & Digital
Electronics
MPE204A
L
Pr.
4
-
60
Examination Scheme
Internal
Assessment
(IA)
Max.
Marks
30
Hrs
1.5
University
Exam
(UE)
Max.
Marks
70
Total
Marks
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
Hrs.
3
100
4
Rationale:
The objective of this course is
 To study and be able to apply the conceptual structure of Analog & Digital Electronics.
 To gain skill in problem solving and critical thinking.
 To study the application of Analog & Digital Electronics in day to day communication.
Learning Outcomes
After studying this subject, student will be able to
 Understand physical interpretation of Analog & Digital Electronics.
 Understand the application of Analog & Digital Electronics in computer, Aircraft
technology and electronics, Satellites and electronics, Television, Internet technology etc.
Course Content:
Unit: 1
(Lecture Hours: 15/Weightage: 25%)
JFET: Pinchoff voltage, characteristics of JFET, FET small signal model, MOSFET, CS
amplifier, CD amplifier, Uni-junction Transistor, Silicon control rectifier, DIAC and TRIAC.
IC555 block diagram, IC555 as astable multivibrator, and as monostable multivibrator, IC565
PLL: block diagram, principle and working,
Unit: 2
(Lecture Hours: 15/Weightage: 25%)
Basic Gates (NOT, AND, OR), Universal Gates, BCD codes, ASCII code, Excess 3 code, Gray
Code, Boolean functions, Min-terms and Max-terms. Karnaugh Mapping, Tri-state logic,
positive and negative logic, signed binary numbers.
Unit: 3
(Lecture Hours: 15/Weightage: 25%)
Arithmetic logic circuits: Adders, Subtractors and comparators, Combinational circuits,
Decoders, De-multiplexers, Encoders, Multiplexers, Sequential circuits: Registers and
Counters, Memories: ROM, PROM, EPROM & RAM, and expanding memory size.
Unit: 4
(Lecture Hours: 15/Weightage: 25%)
DAC and ADC: Resistive divider, Binary ladder, DAC using OPAMP, specifications, parallel
comparators, counter method & approximation methods, Introduction to microprocessor,
organization and architecture of Intel 8085, ALU, Timing and Control Unit, Various Registers,
Data and Address Bus, Instruction of 8085 and basic programing.
Page | 32
Reference Books:
1. Solid State Pulse Circuits by David A. Bell; Prentice Hall of India, New Delhi
2. Digital Electronics by Malvino & Leech.
3. Modern Digital Electronics by R. P. Jain; TataMcGraw Hill, New Delhi
4. Microelectronics: Digital and Analog by K. R. Botkar.
5. Integrated Electronics by K. R. Botkar.
6. Electronic Devices & Components by J. Seymour.
7. A Microprocessor Architecture, Programming and Applications with 8085 by Ramesh S.
Goankar; Prentice Hall of India, New Delhi
Page | 33
Name of Course: ECONOPHYSICS (Elective)
Econophysics
MPE204B
L
Pr.
4
-
60
Examination Scheme
Internal
Assessment
(IA)
Max.
Marks
30
Hrs
1.5
University
Exam
(UE)
Max.
Marks
70
Total
Marks
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
Hrs.
3
100
4
Rationale:
Make students acquainted with possible applications of methods developed originally in
physical sciences in economics.
Learning Outcomes
Upon successful completion of this course, students will be able to perform the research with
the use of methods based on principles of physics. Moreover, they will have a good command
of corresponding numerical simulations.
Course Content:
Unit: 1
1. Selected kinds of probability distributions
2. Selected kinds of stochastic processes
Unit: 2
1. Models of conditional volatility
2. Fractals, multifractals and phase transitions
(Lecture Hours: 15/Weightage: 25%)
(Lecture Hours: 15/Weightage: 25%)
Unit: 3
(Lecture Hours: 15/Weightage: 25%)
1. Thermodynamic processes and market instability
2. Nonlinear dynamical systems and deterministic chaos
Unit: 4
1. Scaling and rescaled range analysis
2. Self-organized systems
(Lecture Hours: 15/Weightage: 25%)
Page | 34
Reference Books:
1. An introduction to Econophysics: correlations and complexity in finance by MANTEGNA,
R N. -- STANLEY, H E.
2. Econophysics: Background and Applications in Economics, Finance, and Sociophysics by
Gheorghe Savoiu
3. Econophysics: An Introduction (Physics Textbook) by Sitabhra Sinha, Arnab Chatterjee,
Anirban Chakraborti and Bikas K. Chakrabarti
4. Econophysics of Income and Wealth Distributions by Bikas K. Chakrabarti, Anirban
Chakraborti, Satya R. Chakravarty and Arnab Chatterjee
5. Experimental Econophysics: Properties and Mechanisms of Laboratory Markets (New
Economic Windows) by Ji-Ping Huang
Page | 35
Practical, Research Projects, Seminars in Semester-1 and Semester-2
Name of Course: Practical – I
Practical – I
Note: 1.
2.
3.
MPC105
L
Pr.
-
9
135
Examination Scheme
Internal
Assessment
(IA)
University
Exam
(UE)
Max.
Marks
Hrs
Max.
Marks
Hrs.
30
1.5
70
6
Total
Marks
100
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
5
Lab Duration 3 Hrs. * 3 days per week = 9 Hrs/week
Internal Exam: 1 Practical Exam of 1.5 hrs. Duration.
University Exam: 2 Practical Exam of 3 hrs. Duration Each.
Name of Course: Research Project– I and Seminar
Research Project– I
MPC106
& Seminar
Note: 1.
2.
3.
L
Pr.
-
9
135
Examination Scheme
Internal
Assessment
(IA)
University
Exam
(UE)
Max.
Marks
Hrs
Max.
Marks
Hrs.
50
CIA*
50
2
Total
Marks
100
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
5
Research Project & Seminar duration 3 Hrs. * 3 days/week = 9 Hrs/week
*For Continuous Internal Assessment (CIA), refer Internal Assessment (IA) on
Page No. 5.
University Exam, Live Evaluation of Research Project for 1 hour followed by 1
Hour seminar on Research Project (Total: 2 Hrs)
Page | 36
Name of Course: Practical –II
Practical – II
Note: 1.
2.
3.
MPC205
L
Pr.
-
9
135
Examination Scheme
Internal
Assessment
(IA)
University
Exam
(UE)
Max.
Marks
Hrs
Max.
Marks
Hrs.
30
1.5
70
6
Total
Marks
100
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
5
Lab Duration 3 Hrs. * 3 days/week = 9 Hrs/week
Internal Exam: 1 Practical Exam of 1.5 hrs. Duration.
University Exam: 2 Practical Exam of 3 hrs. Duration Each.
Name of Course: Research Project– II and Seminar
Research Project–
II & Seminar
Note: 1.
2.
3.
MPC206
L
Pr.
-
9
135
Examination Scheme
Internal
Assessment
(IA)
University
Exam
(UE)
Max.
Marks
Hrs
Max.
Marks
Hrs.
50
CIA*
50
2
Total
Marks
100
Credit
Subject Title
Subject
Code
Teaching
Total
Scheme Teaching
Hours
Hours
per
per
Week
semester
5
Research Project & Seminar duration 3 Hrs. * 3 days/week = 9 Hrs/week
*For Continuous Internal Assessment (CIA), refer Internal Assessment (IA) on
Page No. 5.
University Exam, Live Evaluation of Research Project for 1 hour followed by 1
Hour seminar on Research Project (Total: 2 Hrs)
Page | 37
Semester-1
Sr. No. Experiment
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
Determination of Dielectric constant of Solids
e/m measurement setup
B-H Curve Tracer (to study Hysteresis curve of magnetic material)
Fiber-Optics Experiments (NA and acceptance angle determination of PMMA fiber)
Fiber-Optics Experiments (study of Step index multimode plastics fiber, graded index glass
fiber
Lissagous figure with micro controller based phase difference generator
Rigidity and Internal friction and their variation with temperature
Computer Program using C and SCILAB* (Refer Last Page of this Document)
Hybrid π - characteristics
RC Phase shift oscillator, Crystal Oscillator
Hartley Oscillator, Colpitts Oscillator
Op-amp as inverting amplifier & non- inverting amplifier
Op-amp parameters part-I (Input impedance, output impedance, Slew rate, Frequency response)
Op-amp parameters part-II (Input offset voltage, input offset current, input bias current,CMRR)
Schmitt trigger using OPAMP
Monostable and Asable multivibrator using OPAMP
Note: 20% of new experiments can be introduced AND / OR replaced as per the need by
the permission of the Head/Dean.
Page | 38
Semester-2
Sr. No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
Experiment
Michelson Interferometer (using Diode/He-Ne Laser)
Geiger-Muller Counter
Hall-effect
Four Probe method for Resistivity and Band Gap measurement
Quink’s tube method for susceptibility of paramagnetic material
Laser Experiment (o/p power vs LD forward current, photo diode current vs optical power
output)
Fourier analysis of waveforms
Harmonic and An-harmonic oscillator
Computer Program using IDL* (Refer Last Page of this Document)
IC555 timer as Astable and Monostable Multivibrator
Characteristics of MOSFET, FET and UJT
Logic Gates: Half & Full adder, Half & full Subtractor
Multiplexer and demultiplexer
Analog to digital converter & Digital to analog converter
8085 Microprocessor Trainer
8 Bit Addition and Subtraction
8 Bit Multiplication and Division
Note: 20% of new experiments can be introduced AND / OR replaced as per the need by
the permission of the Head/Dean.
Page | 39
* Examples on computer programs which can be performed based on C-language,
SCILAB and IDL for semester-1 & -2
Programing in C-language
1
Write a program in C: Operations: Arithmetic, Relational, Logical
2
Write a program in C: Solving Quadratic Equations
3
Write a program in C: Square Root Solving
4
Write a program in C: Procedure Implementation
5
Writing program using programming constructs of branching and looping
 Array: Declaration, Input, Element Processing, Output
 Vector Processing
 Matrix Processing
 Arranging data in arrays (descending/ascending)
1
2
3
Interactive working and scripting in SCILAB
Use of built in functions in library of SCILAB
 Use of Trigonometric Functions
 Use of Rounding and Truncating
 Use of Logarithmic and Exponential Functions etc.
Managing set of elements in matrix form, processing and generating outputs
Numerical Method Implementation
 Solutions of non-linear equations – Newton Raphson Method
 Solution of Simultaneously linear equations – Gauss Elimination Method
 Numerical Integration – Simpsons Method
 Numerical Differentiation – Solution of simple differential equations
Write a program in IDL Environment
1 Variables data type operations on variables.
2 Working with arrays- vectors, matrix.
3 Creating and customizing graphics plots.
4 Creating and customizing surface plots.
5 Creating and customizing contour plots.
6 Working with image data, displaying images, scaling image data, changing image size.
7 Positioning and reading images.
Image processing- Histogram equalization, smoothening images, noise removal, enhancing
8
edges images.
9 Frequency domain filtering of images
10 Working with colors
11 3D plots in IDL
12 Simple animation in IDL
Page | 40