Exactly Solvable Problems in Condensed Matter and Relativistic Field Theory

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Physics

Edited by H. Araki, Kyoto, J. Ehlers, MSnchen,K. Hepp, ZL~rich R. Kippenhahn,ML~nchen,H. A. WeidenmLiller,Heidelberg and J. Zittartz, K61n Managing Editor: W. Beiglb6ck

242 Exactly Solvable Problems in Condensed Matter and Relativistic Field Theory Proceedings of the Winter School and International Colloquium Held at Panchgani, January 30-February 12, 1985 and Organized by Tata Institute of Fundamental Research, Bombay

Edited by B. S, Shastry, S.S. Jha and V. Singh

Springer-Verlag Berlin Heidelberg New York Tokyo

Editors B.S. Shastry S.S. Jha V. Singh Tata Institute of Fundamental Research Homi Bhabha Road, Colaba, Bombay 400005, India

ISBN 3-540-16075-2 Springer-Verlag Berlin Heidelberg NewYork Tokyo ISBN 0-387-16075-2 Springer-Verlag NewYork Heidelberg Berlin Tokyo This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprint)ng, re-use of illustrations, broadcast{ng, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich. © by Springer-Verlag Bet(in Heidelberg 1985 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2153/3140-543210

FOREWORD We have p l e a s u r e School

and I n t e r n a t i o n a l

Condensed Tata

in p r e s e n t i n g

Matter

Institute

Panchgani lectures

Colloquium

and R e l a t i v i s t i c

of F u n d a m e n t a l

between

January

presented

The a r t i c l e

in the c o n t e x t the area

several

T. M i w a

of the T-function,

of the

The a r t i c l e Ansatz

Majumdar

systems,

written

interest

to students

was r e c e i v e d

focusing

broken

to the t h e o r y and his in the

of the Bethe symmetry

in

Programme,

structure

of the

containing field,

several

will

expository

be of c o n s i d e r a b l e

as s p e c i a l i s t s .

w i t h thanks

the help p r o v i d e d

the conference.

scientists

to e x a c t l y

contexts.

in the

as well

and by Bogoliubov,

approach

on the a l g e b r a i c

from the D e p a r t m e n t

exchange

of

lattice.

equations.

the a p p l i c a t i o n

L. T a k h t a d j a n

in v a r i o u s

in a r r a n g i n g

of several

Exchange Academy

solution

- Toda

by the a u t h o r

the L e n i n g r a d

by experts

We a c k n o w l e d g e B. S u t h e r l a n d

to the

introduction

and d i s c u s s e s

t h a t this volume,

articles

Visits

present

equations,

We e x p e c t

reviews

model

The a r t i c l e an a p p r o a c h

E. Date and M. Kashiwara,

by L. Faddeev,

and K o r e p i n

Baxter

leading

space

in general.

The a r t i c l e s

integrable

model.

the q u a n t u m

pioneered

Sato,

of the

in this volume.

Bethe Ansatz,

an

in

by the

the c o o r d i n a t e

l-d H u b b a r d

provides

Some

2-d Ising a n d K a d o m t s e v - P e t v i a s h v i l i

by C.K.

antiferromagnets

Yan