My Polish Physis Odyssey: The
First Deade
Brian G Wybourne
Instytut Fizyki,
Uniwersytet Mikoªaja Kopernika - Polska
24 January 2002
Toru«, POLAND 24 January 2002
1
Denition
odyssey/odisi/ noun (pl eys) a long and eventful or
adventurous journey:
-
ORIGIN Late 19th ent:
(see
ODYSSEY)
via Latin from Greek
Odusseia
The NEW OXFORD Ditionary of ENGLISH
Toru«, POLAND 24 January 2002
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Introdution
The Beginning of the Odyssey
University
Beatrie Tinsley (1941-1981)
Powers of the Vandermonde determinant and QHE
Claude Itzykson (1938-1995)
My united paper
My latest Referee Reports
My Polish Odyssey
Aknowledgements
Toru«, POLAND 24 January 2002
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Toru«, POLAND 24 January 2002
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University
Physis is really super. Do. Gregory is a most interesting
leturer and goes frequently into the philosophial reasons for
knowing anything anyway it's miles more satisfatory than
learning strings of fats in an orderly manner and never knowing
why anyone knows it. ... In other words doing the very opposite
from the unbearable shool attitude.
Beatrie Tinsley (1958) in
My Daughter Beatrie Edward Hill
(Amerian Physial Soiety, New York (1986).
Whoever in the pursuit of siene, seeks after immediate pratial
utility may rest assured that he seeks in vain
H. von Helmholtz (1862)
Toru«, POLAND 24 January 2002
Note on Beatrie Tinsley
In 1967 Sandage took a trip to the University of Texas to give a
talk about osmology. Before he ould speak, a young woman, a
graduate student, stood up and told the audiene that everything
they were about to hear was wrong. Sandage was stunned and
outraged - an outrage he was never to forget.
The woman who announed herself into Sandage's life so
unforgettably was Beatrie Tinsley.
I don't think it is weakness to be motivated by emotions. What
else is the driving fore, or inspiration to think of useful theories?
Only if emontional attahment to one's own theory makes one
blind to alternatives is bad
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Toru«, POLAND 24 January 2002
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Some Papers
The Symmetri Group:
Produts, Branhing Rules and Plethysms for Spin
Representations, J. Phys.A:Math. Gen., 14, 327-348 (1981)
Luan Dehuai and B. G. Wybourne,
S. A. Fulling, R. C. King ,B. G. Wybourne and C. J. Cummins,
Normal Forms for Tensor Polynomials I. The Riemann Tensor
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Class. Quantum Grav. ,1151-97 (1992)
Thomas Sharf, Jean-Yves Thibon and Brian G. Wybourne,
Expansion of the Vandermonde determinant and the quantum
Hall eet J. Phys. A:Math. Gen. 27,42114219 (1994)
We may as well ut out the group theory. That is a subjet that
will never be of any use in physis
Sir James Hopwood Jeans
Toru«, POLAND 24 January 2002
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Lidia Smentek and Brian G Wybourne,
f
$f
transitions, J. Phys.
B
A Relativisti Model of
33, 3647-51 (2000)
Multipliity free tensor produts of
irreduible representations of the exeptional Lie groups , J. Phys.
R C King and B G Wybourne,
A:Math. Gen. (In press)
One an measure the importane of a sienti work by the
number of earlier publiations rendered superuous
David Hilbert
He is a rather good mathematiian, but he will never be as good
as Shottky
G Frobenius, in a letter reommending the appointment of David
Hilbert at Gottingen
Toru«, POLAND 24 January 2002
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The Vandermonde determinant and the QHEet
V (z1 ; : : : ; zN ) =
m
Laughlin (z1 ; : : : ; zN ) =
N
Y
i<j
Laughlin
V
(zi
N
Y
i<j
zj )
zj )2m+1 exp
P
1 N jzi j2
2 i=1
X 2
m
=V
=
fg
n = mN (N
(zi
`n
1)
The oeients are signed integers and are the
same integers
that arise in the expansion of the Laughlin wavefuntion as a
linear ombination of Slater determinants.
Toru«, POLAND 24 January 2002
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Claude Itzykson (1938-1995)
Origins of the Vandermonde paper -
Itzykson's Counting Conjeture.
Toru«x
N
N
!Florene!Garhing!Bayreuth !Toru«.
N
= 7 1111 distint partitions,
= 8 Conjeture 5302 Calulated 5294
= 9 Conjeture 26376 Calulated 26310.
Exat Finite Size Study of the 2dOCP at Gamma=4 and
Gamma=6 G. Tellez (Laboratoire de Physique ENS Lyon), P. J.
Forrester (Department of Mathematis and Statistis, University
of Melbourne)
97, 489 (1999)
J. Stat. Phys.
Toru«, POLAND 24 January 2002
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My united paper
The Symmetri Group:
Produts, Branhing Rules and Plethysms for Spin
Representations, J. Phys.A:Math. Gen., 14, 327-348 (1981)
M L Nazarov Young's orthogonal form of irreduible projetive
representations of the symmetri group,Pro. London. Math.
Luan Dehuai and B. G. Wybourne,
42,437(1990).
So. (2)
P N Homan and J F Humphreys,
Chap. 10 Theorem 10.2 is due to Dehaui and Wybourne (1986).
Chap. 11 last para.This follows by indution on
Projetive Representations of
the Symmetri Groups, Oxford (1992).
See also Salam and Wybourne (1989).
the branhing rule, Theorem 10.2 ...
n, omparing
Toru«, POLAND 24 January 2002
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Figure 2: M L Nazarov
Toru«, POLAND 24 January 2002
My latest Referee Reports
Dear Professor King
TITLE: Multipliity free tensor produts of ...
AUTHORS: R C King et al
We have pleasure in informing you that your Paper has been
provisionally aepted for publiation in Journal of Physis A:
Mathematial and General. ...If, however, you do not wish to
make any further hanges in response to the omments, then
please let us know right away. The present version of the artile
will then be automatially aepted for publiation.
First Referee's Report on A/131335/PAP
Without a detailed and onvining motivation, either
mathematial or physial, I annot reommend the publiation of
the paper.
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Toru«, POLAND 24 January 2002
Seond Referee's Report on A/131335/PAP
Sine exeptional groups has physial appliations this material
may be of great interest. I think that this paper an be published
in its present form in Journal of Physis A: Mathematial and
General
Adjudiator's Report on A/131335/PAP
This is a readable, solid, apparently omplete, and oneivably
inspirational work, quite possibly of pratial utility in urrent
gropings for imaginative onstruts involving exeptional algebras
in M-theory. The judgement on potential future appliability is
most often suspended in subjetivity: I read the paper and got
myself thinking for appliations and handles on present problems
I am onsidering, and I do not see why exposure to this type of
high quality paper should be denied to the readers of this journal.
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Toru«, POLAND 24 January 2002
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My Polish Odyssey
Warsaw Hotel Bristol 1 May 1968 enroute to Vilnius
Banah Centre, Warsaw 1984
A fortuitous meeting with Jaek Karwowski, Zaj
azkowo 1990.
Toru« 1990
Return to Toru« 1991-
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Aknowledgements
Jaek and Anna Karwowski
Instytut Fizyki
KBN
Students of UMK
Neighbours