Table Of ContentRecent Progress in
MANY-BODY
THEORIES
4
VOLUME
Series Editorial Board
R. F. Bishop (UMIST, Manchester, U.K.)
C. E. Campbell (University of Minnesota, Minneapolis, Minnesota, U.S.A.)
S. Fantoni (University of Pisa, Pisa, Italy)
International Advisory Committee for the Eighth Conference
A. J. Kallio (Qulu, Finland)-Chairman
R. F. Bishop (Manchester, U.K.)-Secretary
C. E. Campbell (Minneapolis, U.S.A.)-Treasurer
N. Ashcroft (Cornell, U.S.A.)
Y. Avishai (Beer Sheeva, Israel)
J. W. Clark (St. Louis, U.S.A.)
S. Fantoni (Pisa, Italy)
1. M. Khalatnikov (Moscow, Russia)
H. G. Kiimmel (Bochum, Germany)
M. L. Ristig (K6In, Germany)
D. Yoshioka (Fukuoka, Japan)
Local Organising Committee for the Eighth Conference
E. Schachinger (Graz, Austria)-Chairman
H. Miller (Graz, Austria)
M. Sormann (Graz, Austria)
A Continuation Order Plan is available for this series. A continuation order will bring delivery
of each new volume immediately upon publication. Volumes are billed only upon actual
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RecentProgressin
MANY-BODY
THEORIES
4
VOLUME
Edited by
E. Schachinger
Technical University of Graz
Graz, Austria
H. Mitter
Karl-Franzen's University
Graz, Austria
and
H. Sormann
Technical University of Graz
Graz, Austria
Springer Science+Business Media, LLC
Proceedings of the Eighth International Conference on Recent
Progress in Many-Body Theories, held August 22-26, 1994,
in Liebnitz, Austria
Library of Congress Catalog Card Number 88-645051
ISBN 978-1-4613-5794-0 ISBN 978-1-4615-1937-9 (eBook)
DOI 10.1007/978-1-4615-1937-9
© 1995 Springer Science+Business Media New York
Originally published by Plenum Press, New York in 1995
Softcover reprint of the hardcover 1s t 1995
1098765432 1
Ali rights reserved
No part of this book may be reproduced, stared in a retrieval system, or transmitted in
any form or by any means, electronic, mechanical, photocopying, microfilming,
recording, ar otherwise, without written permission from the Publisher
Ludwig Boltzmann (1844-1906)
PREFACE
The present volume contains the text of the invited talks delivered at the Eighth
International Conference on Recent Progress in Many-Body Theories held at SchloB
Seggau, Province of Styria, Austria, during the period August 22-26, 1994. The pro
ceedings of the Fifth Conference (Oulu, Finland 1987), the Sixth Conference (Arad,
Israel 1989) and the Seventh Conference (Minneapolis, USA 1991) have been published.
by Plenum as the first three volumes of this series. Papers from the First Conference
(Trieste, Italy 1978) comprise Nuclear Physics volume A328, Nos. 1 and 2, the Second
Conference (Oaxtepec, Mexico 1979) was published by Springer-Verlag as volume 142
of "Lecture Notes in Physics," entitled "Recent Progress in Many Body Theories." Vol
ume 198 of the same series contains the papers from the Third Conference (Altenberg,
1983).
These volumes intend to cover a broad spectrum of current research topics in physics
that benefit from the application of many-body theories for their elucidation. At the
same time there is a focus on the development and refinement of many-body methods.
One of the major aims of the conference series has been to foster the exchange of ideas
among physicists working in such diverse areas as nuclear physics, quantum chemistry,
complex systems, lattice Hamiltonians, quantum fluids and condensed matter physics.
The present volume contains contributions from all these areas.
The conference was dedicated on the occasion of Ludwig Boltzmann's 150th birthday.
A special section was devoted to a report on Boltzmann's life by H. Mitter and a
discussion on modern applications of Boltzmann's theory by D. Rainer. V.1. Belinicher
contributed a scholarly discussion of cycles of transition processes as a basic idea of
Ludwig Boltzmann.
Several of the contributors to this volume were asked to provide a broad overview
of a particular area. The contribution by C.E. Campbell discusses the present status in
the theory of "quantum fluids," J.P. Malrieu discusses extensively the various aspects
of the electron correlation in molecules, and L. Wilets gives an historic overview of
nuclear physics. This is followed by R.F. Bishop's complete and comprehensive report
on developments in the area of lattice Hamiltonians. The complex physics section is
headed by a very personal account by P.A. Carruthers, and E. Dagotto completes with
a review of the recent developments achieved in the understanding of High Temperature
Superconductivity.
The remaining invited papers are focused more narrowly on recent research results.
Numerical developments are also discussed whithin this group of papers.
The conference was also the occasion for the presentation of the fifth Eugene Feen
berg Medal in Many-Body Physics to D. Ceperley from the University of Illinois at
vii
Urbana-Champaign. The presentation was made by J.W. Clark of Washington Univer
sity, St. Louis, recepient of the Eugene Feenberg Medal, awarded at the Fifth Conference
in Oulu. The presentation remarks are included in this volume together with Professor
Cepedey's review talk on stochastic methods in many-body theories.
We would like to acknowledge substancial financial support by the Federal Ministry
of Science and Research, by the Government of the Province of Styria, by Technische
Universitiit Graz, by the Bank Austria, by the Austrian National Bank, by the Styrian
Chamber of Commerce, and, last but not least, by Institut fur Theoretische Physik,
Technische Universitiit Graz.
The conference was organized under the auspicies of
Dr. Erhard Busek, Federal Minister for Science and Research
Dr. Josef Krainer, Governor of the Province of Styria
Univ. Prof. Dr. Peter Schachner-Blazizek, Vice-Governor of the Province of Styria
on the political side, and of
Univ. Prof. Dr. Helmut Konrad, Rector Magnificus, Karl-Franzens Universitiit Graz
Univ. Prof. Dr. Josef Wohinz, Rector Magnificus, Technische Universitiit Graz
on the academic side.
Finally, we would like to thank the staff at SchloB Seggau for a most enjoyable stay
at this remarkable place.
E. Schachinger
H. Mitter
H. Sormann
viii
CONTENTS
SECTION I: LUDWIG BOLTZMANN
Life of a Physicist: Ludwig Boltzmann 1844-1906 ............................... .
H. Mitter
Recent Applications of Boltzmann's Theory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
D. Rainer
Cycles of the Transition Processes as Basic Idea of Ludwig Boltzmann. . . . . . . . .. 2:3
V.l. Belinicher
SECTION II: QUANTUM FLUIDS
Recent Progress in the Theory of Highly Correlated Quantum Fluids 29
C.E. Campbell
Systematics and Numerics in Many-Body Systems.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
M. Suzuki
Multiphonon Excitations in Bose Films.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
B.E. Clements, E. Krotscheck, M. Saarela, and C.J. Tymczak
Theory of 3He Submonolayers in 4He Films.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
R.H. Anderson and M.D. Miller
Impurity Distribution in Helium Droplets. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8,5
S.A. Chin and E. Krotscheck
Excitations in Quantum Boson Fluids ........... , .... , , ..................... , . . 93
M. Saarela
Dynamic Structure Function of 3He-4He Mixtures in the Deep Inelastic Regime 101
A. Polls, F. Mazzanti, J. Boronat, F. Dalfovo, and A. Fabrocini
IX
SECTION III: QUANTUM CHEMISTRY
Research of Appropriate Treatments of the Various Aspects of the Electron
Correlation in Molecules and their Interplay.. .. . . . . .. . . . . . .. . . . . . .. . . . . 109
J.P. Malrieu
A Coupled Cluster Approach to the Electron Correlation Problem Using a
Correlated Reference State. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
D. Mukherjee
Relativistic Coupled Cluster Calculations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
U. Kaldor
Correlation in Collisions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143
J.F. Reading, A.L. Ford, and K.A. Hall
SECTION IV: NUCLEAR PHYSICS
Nuclear Physics: An Historic Overview.. . .. . . . . . .. . . . . ... . . . ... . . . . . . . . . . . . .. . 153
L. Wilets
Realistic Microscopic Calculations of Nuclear Structure.. .. . . . .. . . . . . .. . . . . . . . . 163
B.R. Barrett, D.C. Zheng, J.P. Vary, and R.J. McCarthy
Microscopic Theories of Atomic and Nuclear Optical Potentials.. . . . . . . . . . . .. . . 171
C. Mahaux
An Exotic Many Body System: The Quark-Gluon Plasma. . . . . . . . . . . . . . . . . . . . . 177
J .-P. Blaizot
Variational Description of Collective Isospin Modes in Heavy Nuclei. . . . . . . . .. . 187
E.P. Bashkin, C. da Provid€mcia, and J. da Providencia
SECTION V: LATTICE HAMILTONIANS
Microscopic Theories of Quantum Lattice Systems.. . .. . .. . .. . . . . . .. . . . . . .. . . . . 195
R.F. Bishop
A Nonperturbative Microscopic Theory of Hamiltonian Lattice Gauge Systems 237
R.F. Bishop, N.J. Davidson, and Y. Xian
Quantum Antiferromagnets: From Neel Ordered Groundstates to Spin Liquids 249
B. Bernu, P. Lecheminant, C. Lhuillier, and L. Pierre
x
Enhancement of the Finite Lattice Method for Estimating the Zero Temperature
Properties of Quantum Spin Systems in Two Dimensions With Appli-
cation to the S = 1/2 XY Ferromagnet on the Square Lattice. . . . . . . .. . . 255
D.D. Betts, S. Masui, and N. Vats
Relationship Among the Hubbard t - J and Tomonaga-Luttinger Models 263
J. S6lyom and K. Penc
SECTION VI: COMPLEX SYSTEMS
Complexity, Correlations and Fluctuations in Many-Particle Systems 271
P.A. Carruthers
Connectionist Statistical Inference. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283
J.W. Clark, K.A. Gernoth, and M.L. Ristig
Coupling Between Slow and Fast Degrees of Freedom in Systems With Complex
Spectra. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293
A. Bulgac, G. Do Dang, and D. Kusnezov
Densities of States and Thermodynamics of Mega-Dimensional Sparse Matrices 301
H. Roder and R.N. Silver
Quantum Chaos and Fundamental Symmetry Violations in Nuclei and Other
Complex Systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309
O.K. Vorov
SECTION VII: SOLIDS
High Temperature Superconductors: A Review.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 319
E. Dagotto
A Proposed Interaction Model for the High Tc Cuprates . .. . . . . . . . . . . . . . . . . . . . . 375
R. A. Ferrell
Spectator Fermion Binding of Bosons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . 381
A. Kallio, V. Apaja, and S. Poykko
Theory for Normal State Magnetic Properties of High-Tc Superconductors:
Doping and Temperature Dependence. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 393
G. Baumgiirtel, J. Schmalian, and K.H. Bennemann
Green's Function Method in the Theory of Strongly Correlated
Pseudospin-Electron Systems. . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 401
LV. Stasyuk and A.M. Shvaika
xi
