量子力學 Quantum Mechanics
Textbook
Introduction to Quantum Mechanics / David J. Griffiths
Prentice Hall / 1995
Reference
Principles of Quantum Mechanics
- as applied to chemistry and chemical physics
Donald D. Fitts
Cambridge University Press / 1999
量子力學課程大綱
Chap 1
Chap 2
Chap 3
Chap 4
Chap 5
Chap 6
Chap 7
Chap 8
Chap 9
Chap 10
Chap 11
- The Wave Function
- The Time-independent Schrödinger Equation
- Formalism in Hilbert Space
- Quantum Mechanics in Three Dimensions
- Identical Particles
- Time-independent Perturbation Theory
- Variational Principle
- WKB Approximation
- Time-dependent Perturbation Theory
- Adiabatic Approximation
- Scattering
量子力學
∆x
x
〈x〉
∆x = x − 〈x〉
σ x2 ≡ 〈(∆x)2 〉
x
量子力學
E
a+
E + 3hω
E + 2hω
a+3ψ
E + hω
a+ψ
E
E − hω
ψ
a−ψ
a+2ψ
a−
E0
ψ0
the ladder of stationary states
量子力學
vp
x
vg
wave packet
量子力學
n
....
0
-1
.....
4
3
-2
.....
-3
Paschen series
2
-4
Balmer series
-5
-6
-7
-8
-9
.....
-10
-11
-12
-13
-14
1
Lyman series
energy(eV)
transitions in the spectrum of hydrogen