Recent Progress in Many-Body Theories

by Bishop, R. F.; Gernoth, Klaus A.; Walet, Niels R.; Xian, Yang

• ISBN13: 9789810243180
• ISBN10: 9810243189
• Format: Hardcover
• Copyright: 2000-04-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Quantum many-body theory as a discipline in its own right dates largely from the 1950's. It has developed since then to its current position as one of the cornerstones of modern theoretical physics. The field remains vibrant and active, vigorous and exciting. Indeed, its successes and importance were vividly illustrated prior to the conference by the sharing of the 1998 Nobel Prizes in both Physics and Chemistry by three many-body theorists. Two of those Nobel laureates, Walter Kohn and Bob Laughlin, delivered invited lectures at this meeting, the tenth in the series of International Conferences on Recent Progress in Many-Body Theories. This series is universally recognized as being the premier series of meetings on this subject, and its proceedings have always summarized the current state of the art through the lectures of its leading practitioners. The present volume is no exception.A major aim of this conference series has been to foster the exchange of ideas between physicists working in all the diverse fields of application of quantum many-body theory. These include nuclear and subnuclear physics, quantum fluids, strongly correlated electronic systems, and low-dimensional condensed-matter systems and materials. All of these fields and others are represented in the present volume. Other topical themes covered include density functional theory and its applications to nuclear and electronic systems, quantum dots and chaos, and trapped Bose-Einstein condensates. Through this breadth of applications the reader will get a clear illustration of the power of the tools of modern microscopic quantum many-body theory, and their usefulness both in achieving a commonality of approach andunderstanding, and in transferring powerful ideas from one field to another.

Table of Contents

Preface	xi
Series Editorial Board and Other Committees	xv
Foreword by the Editors	xvii
Feenberg Memorial Medal Presentation	1	(12)
Anthony Leggett: Feenberg Medalist 1999 Condensed Matter as a Test-Bed for Fundamental Quantum Mechanics	3	(8)
C. E. Campbell
J. W. Clark
E. Krotscheck
L. P. Pitaevskii
Response to Feenberg Medal presentation	11	(2)
T. Leggett
RPMBT-10 Challenge Competition Winning Entry	13	(10)
The MBX Challenge Competition: A Neutron Matter Model	15	(8)
G. A. Baker, Jr.
Keith Brueckner's 75th Birthday Reflections	23	(8)
Highlights in Many-Body Physics	25	(6)
K. Brueckner
Strongly Correlated Condensed Matter and Low-Dimensional Systems	31	(66)
A Personal View on Perspectives of Condensed Matter Theory	33	(3)
A. M. Tsvelik
Interactions in Quasicrystals	36	(9)
J. Vidal
D. Mouhanna
T. Giamarchi
Gauge Fluctuations in a RVB Theory of D-Wave Superconducting Cuprates	45	(9)
D.-H. Lee
Recent Progress on Models of Highly Disordered Superconductors	54	(12)
N. Trivedi
A. Ghosal
M. Randeria
Striped Quantum Hall Phases	66	(10)
F. von Oppen
B. I. Halperin
A. Stern
Coulomb Gap in the Quantum Hall Insulator	76	(4)
M. Backhaus
B. Huckestein
Anisotropy in the Compressible Quantum Hall State	80	(4)
N. Maeda
Ab-initio Evaluation of Local Effective Interactions in α'NAV2O5	84	(4)
M.-B. Lepetit
N. Suaud
Two-Loop Renormalization of the Quasiparticle Weight in Two-Dimensional Electron Systems	88	(4)
Jun-Ichiro Kishine
Nobuo Furukawa
Kenji Yonemitsu
High-Order Coupled Cluster Results for Quantum Antiferromagnets and their Phase Transitions	92	(5)
R. F. Bishop
D. J. J. Farnell
Quantum Dots and Chaos	97	(60)
Quantum Dots and the Many-Body Problem	99	(15)
H. A. Weidenmuller
Effective Low-Energy Theories and QCD Dirac Spectra	114	(12)
D. Toublan
J. J. M. Verbaarschot
Multilevel Blocking Monte Carlo Simulations for Quantum Dots	126	(10)
R. Egger
C. H. Mak
Kondo Effect and Spin-Charge Separation in Quantum Dots	136	(17)
L. I. Glazman
F. W. J. Hekking
A. I. Larkin
Diffusion Monte Carlo Study of Ground State Properties of Quantum Dots	153	(4)
F. Pederiva
Nuclear and Subnuclear Many-Body Problems	157	(130)
Quantum Monte Carlo Methods for Nuclei at Finite Temperature	159	(16)
Y. Alhassid
Monte Carlo Shell Model Calculations for Atomic Nuclei	175	(11)
T. Otsuka
T. Mizusaki
Y. Utsuno
N. Shimizu
M. Honma
Color Superconductivity	186	(17)
T. Schafer
Recent Studies of the Nuclear Interaction	203	(10)
J. Carlson
Pairing Correlations in Nuclear Systems, from Infinite Matter to Finite Nuclei	213	(9)
Ø. Elgarøy
T. Engeland
M. Hjorth-Jensen
E. Osnes
A Constrained Path Monte Carlo Method for Nucleon Systems	222	(9)
K. E. Schmidt
A. Sarsa
S. Fantoni
Neutron Stars: Recent Developments	231	(16)
H. Heiselberg
Brueckner Theory of Nuclear Matter with Nonnucleonic Degrees of Freedom and Relativity*	247	(16)
R. Machleidt
Infinite Nuclear Matter on the Light Front: A Modern Approach to Brueckner Theory	263	(7)
G. A. Miller
Correlations and Realistic Interactions in Doubly Closed Shell Nuclei	270	(10)
A. Fabrocini
F. Arias de Saavedra
G. P. Co'
Nuclear Matter Calculation with the Exact Pauli Operator in the Brueckner Theory	280	(4)
K. Suzuki
R. Okamoto
M. Kohno
S. Nagata
Proton Single Particle Energy Shifts due to Coulomb Correlations	284	(3)
A. Bulgac
V. R. Shaginyan
Quantum Fluids, Superfluids and Superconductivity	287	(48)
A Microscopic Look at Liquid Helium: The 3He Impurity Case	289	(16)
A. Polls
A. Fabrocini
New Perspectives in the Application of the Diffusion Monte Carlo Method to the Study of Liquid 3He	305	(10)
J. Boronat
J. Casulleras
Variational Wave Functions of a Vortex in Cyclotron Motion	315	(4)
J.-M. Tang
3He Dimers in Two-Dimensional 3He-4He Mixture Films	319	(4)
M. Saarela
J. Paaso
E. Krotscheck
K. Schorkhuber
Hyperon Superfluidity in Neutron Star Cores*	323	(4)
T. Takatsuka
S. Nishizaki
Y. Yamamoto
R. Tamagaki
Pairing in Inhomogeneous Superconductors	327	(4)
J. Eroles
G. Ortiz
A. V. Balatsky
A. R. Bishop
Vortex in Chiral Superconducting State	331	(4)
J. Goryo
Bose-Einstein Condensates	335	(54)
Probing Bose-Einstein Condensates with Optical Bragg Scattering	337	(20)
D. M. Stamper-Kurn
A. P. Chikkatur
A. Gorlitz
S. Gupta
S. Inouye
J. Stenger
D. E. Pritchard
W. Ketterle
Quantum Kinetic Theory for a Bose-Einstein Condensed Alkali Gas	357	(10)
M. J. Holland
J. Cooper
R. Walser
Finite Temperature Field Theory of Bose-Einstein Condensates	367	(8)
D. A. W. Hutchinson
Bose Condensation in a Restricted Geometry	375	(4)
M. Boninsegni
Expected and Unexpected Solutions to the Stationary One-Dimensional Nonlinear Schrodinger Equation	379	(5)
L. D. Carr
C. W. Clark
W. P. Reinhardt
Separability and Stability of Solutions of the 1-Dimensional NLSE with Respect to Extension into 2 and 3 Dimensions, and to Initial Perturbation by White Noise	384	(5)
W. P. Reinhardt
M. A. Leung
L. D. Carr
Density Functional Theory	389	(58)
Exploring the Adiabatic Connection Between Weak- and Strong-Interaction Limits in Density Functional Theory	391	(12)
J. P. Perdew
S. Kurth
M. Seidl
Local Energy-Density Functional Approach to Many-Body Nuclear Systems with S-Wave Pairing	403	(19)
S. A. Fayans
D. Zawischa
Implicit Density Functionals for the Exchange-Correlation Energy: Description of van der Waals Bonds	422	(11)
E. Engel
A. Facco Bonetti
Time-Dependent Density Functional Theory Beyond the Adiabatic Approximation	433	(10)
G. Vignale
Comparison of Density Functional Approximations in the Jellium Model for Metal Clusters	443	(4)
C. Fiolhais
L. M. Almeida
Novel Systems and Many-Body Methods	447	(34)
Simple Approximations for the Pseudo-Jahn-Teller Hamiltonian Using the Coupled Cluster Method	449	(4)
R. F. Bishop
R. M. Carter
N. J. Davidson
D. M. van der Walt
QCD Glueballs Within a Coupled Cluster Approach	453	(4)
D. Schutte
A. Wichmann
V. Wethkamp
Marshall-Peierls Sign Rules, the Quantum Monte Carlo Method, and Frustration	457	(4)
R. F. Bishop
D. J. J. Farnell
Evolution of Fermionic Systems as an Expectation over Poisson Processes	461	(4)
M. Beccaria
C. Presilla
G. F. De Angelis
G. Jona-Lasinio
Nonlocal Kinetic Theory	465	(4)
K. Morawetz
V. Spicka
P. Lipavsky
Bosons in a Lattice: Exciton-Phonon Condensate	469	(4)
D. Roubtsov
Y. Lepine
A Fourth Order Diffusion Monte Carlo Algorithm for Solving Quantum Many-Body Problems	473	(4)
H. A. Forbert
S. A. Chin
Thermodynamics and Path Integrals for Identical Particles: The Formalism	477	(4)
F. Brosens
L. F. Lemmens
J. T. Devreese
Author Index	481	(2)
Subject index	483