Many Body Problem The An Encyclopedia Of Exactly Solved Models In One Dimension 3rd Printing With Revisions And Corrections

Author : Daniel C Mattis
Publisher : World Scientific
Page : 992 pages
File Size : 44,9 Mb
Release : 1993-03-15
Category : Science
ISBN : 9789814505574

Get Book

Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension (3rd Printing With Revisions And Corrections) by Daniel C Mattis Pdf

This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space — such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz — can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.

Author : Vieri Mastropietro
Publisher : World Scientific
Page : 312 pages
File Size : 49,6 Mb
Release : 2014
Category : Science
ISBN : 9789814520720

Get Book

Luttinger Model by Vieri Mastropietro Pdf

The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as does the 2D Ising model in statistical physics. Interest in the Luttinger model has increased steadily ever since its introduction half a century ago. The present volume starts with reprints of the seminal papers in which it was originally introduced and solved, and continues with several contributions setting out the landscape of the principal advances of the last fifty years and of prominent new directions.

Author : Daniel C. Mattis
Publisher : Unknown
Page : 964 pages
File Size : 40,7 Mb
Release : 1993
Category : Electronic
ISBN : OCLC:952188000

Get Book

The Many-body Problem: an Encyclopedia of Exactly Solved Models in One Dimension by Daniel C. Mattis Pdf

Classical statistical mechanics. Spectrum of disordered and/or anharmonic chains of oscillators.

Author : Zachary N C Ha
Publisher : World Scientific
Page : 168 pages
File Size : 50,8 Mb
Release : 1996-09-13
Category : Science
ISBN : 9789814500371

Get Book

Quantum Many-Body Systems in One Dimension by Zachary N C Ha Pdf

The main theme of the book is the intimate connection between the two families of exactly solvable models: the inverse-square exchange (ISE) and the nearest-neighbor exchange (NNE) models. The latter are better known as the Bethe-Ansatz solvable models and include the Heisenberg spin chain, t–J models and Hubbard models. The former, the Calogero–Sutherland family of models, are simple to solve and contain essentially the same physics as the NNE family. The author introduces and discusses current topics, such as the Luttinger liquid concept, fractional statistics, and spin–charge separation, in the context of the explicit models. Contents:IntroductionHeisenberg Spin ChainThe 1D Hubbard ModelModels with Inverse-Square ExchangeStrings in Long-Range Interaction ModelElementary Excitations of t-J ModelFractional Statistics in One-Dimension: View from an Exactly Solvable ModelConcluding Remarks Readership: Graduate students, researchers in statistical mechanics, mathematical physics and condensed matter physics. keywords:Quantum;Many-Body;One;Inverse Square;Exchange;Luttinger;Fractional Statistics

Author : Bill Sutherland
Publisher : World Scientific Publishing Company
Page : 400 pages
File Size : 40,9 Mb
Release : 2004-06-21
Category : Science
ISBN : 9789813102149

Get Book

Beautiful Models by Bill Sutherland Pdf

This invaluable book provides a broad introduction to the fascinating and beautiful subject of many-body quantum systems that can be solved exactly. The subject began with Bethe's famous solution of the one-dimensional Heisenberg magnet more than 70 years ago, soon after the invention of quantum mechanics. Since then, the diversity and scope of such systems have been steadily growing. Beautiful Models is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and even ambitious undergraduates in physics. It is also suitable for the non-experts in physics who wish to have an overview of some of the classic and fundamental models in the subject. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.

Author : N H March,G G N Angilella
Publisher : World Scientific
Page : 348 pages
File Size : 41,6 Mb
Release : 2016-05-27
Category : Science
ISBN : 9789813140165

Get Book

Exactly Solvable Models in Many-Body Theory by N H March,G G N Angilella Pdf

The book reviews several theoretical, mostly exactly solvable, models for selected systems in condensed states of matter, including the solid, liquid, and disordered states, and for systems of few or many bodies, both with boson, fermion, or anyon statistics. Some attention is devoted to models for quantum liquids, including superconductors and superfluids. Open problems in relativistic fields and quantum gravity are also briefly reviewed. The book ranges almost comprehensively, but concisely, across several fields of theoretical physics of matter at various degrees of correlation and at different energy scales, with relevance to molecular, solid-state, and liquid-state physics, as well as to phase transitions, particularly for quantum liquids. Mostly exactly solvable models are presented, with attention also to their numerical approximation and, of course, to their relevance for experiments. Contents:Low-Order Density MatricesSolvable Models for Small Clusters of FermionsSmall Clusters of BosonsAnyon Statistics with ModelsSuperconductivity and SuperfluidityExact Results for an Isolated Impurity in a SolidPair Potential and Many-Body Force Models for LiquidsAnderson Localization in Disordered SystemsStatistical Field Theory: Especially Models of Critical ExponentsRelativistic FieldsTowards Quantum GravityAppendices Readership: Graduate students and researchers in condensed matter theory.

Author : Francesco Calogero
Publisher : Springer
Page : 749 pages
File Size : 43,9 Mb
Release : 2014-10-05
Category : Science
ISBN : 3662143437

Get Book

Classical Many-Body Problems Amenable to Exact Treatments by Francesco Calogero Pdf

This book focuses treatable This class on exactly many' body problems. does not include most We are therefore reminded "of physical problems. the of the man home late at after an alcoholic who, story returning night the for his under he was a knew, evening, scanning ground key lamppost; be that he had it somewhere but under the to sure, dropped else, only Yet was there to conduct a searcW' . light lamppost enough proper we feel the interest for such models is nowadays sufficiently widespread because of their their mathematical relevance and their multi beauty, farious that need be made for no our apologies applicative potential choice. In whoever undertakes to read this book will know from any case, its title what she is in for! Yet this title a of it some may require explanations: gloss (including its extended inside front follows. version, see cover) and nonrelativistic "Classical" we mean nonquantal (although By consider the which indeed some are Ruijsenaars Schneider models, treated in this relativistic versions as known, nonre book, of, previously lativistic is focussed see our on models; below): presentation mainly of whose time evolution is determined many body point particles systems Newtonian of motion to by equations (acceleration proportional force).

Author : Norman Henry March,W. H. Young,S. Sampanthar
Publisher : Courier Corporation
Page : 482 pages
File Size : 50,5 Mb
Release : 1995-01-01
Category : Science
ISBN : 9780486687544

Get Book

The Many-Body Problem in Quantum Mechanics by Norman Henry March,W. H. Young,S. Sampanthar Pdf

Single-volume account of methods used in dealing with the many-body problem and the resulting physics. Single-particle approximations, second quantization, many-body perturbation theory, Fermi fluids, superconductivity, many-boson systems, more. Each chapter contains well-chosen problems. Only prerequisite is basic understanding of elementary quantum mechanics. 1967 edition.

Author : David Pines
Publisher : Unknown
Page : 484 pages
File Size : 48,9 Mb
Release : 1962
Category : Many-body problem
ISBN : UVA:X001402908

Get Book

The Many-body Problem by David Pines Pdf

Author : David Pines
Publisher : Unknown
Page : 457 pages
File Size : 54,7 Mb
Release : 1973
Category : Electronic
ISBN : OCLC:41502896

Get Book

The Many-body Problem ... by David Pines Pdf

Author : Peter Henri Vander Weyde,William Henry Wahl
Publisher : Unknown
Page : 422 pages
File Size : 53,5 Mb
Release : 1870
Category : Building
ISBN : UOM:39015011938159

Get Book

The Manufacturer and Builder by Peter Henri Vander Weyde,William Henry Wahl Pdf

Billed in early issues as "a practical journal of industrial progress", this monthly covers a broad range of topics in engineering, manufacturing, mechanics, architecture, building, etc. Later issues say it is "devoted to the advancement and diffusion of practical knowledge."

Author : Anonim
Publisher : Unknown
Page : 986 pages
File Size : 41,8 Mb
Release : 1898
Category : Machinery
ISBN : UIUC:30112007937136

Get Book

Power and the Engineer by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1020 pages
File Size : 50,8 Mb
Release : 1898
Category : Machinery
ISBN : STANFORD:36105015567428

Get Book

Power by Anonim Pdf

Author : Alfred North Whitehead,Bertrand Russell
Publisher : Cambridge University Press
Page : 524 pages
File Size : 43,6 Mb
Release : 1927
Category : Mathematics
ISBN : 052106791X

Get Book

Principia Mathematica by Alfred North Whitehead,Bertrand Russell Pdf

The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.

Author : Library of Congress
Publisher : Unknown
Page : 1120 pages
File Size : 43,5 Mb
Release : 1953
Category : Filmstrips
ISBN : MINN:319510012393250

Get Book

The National Union Catalog by Library of Congress Pdf

Constitutes the quinquennial cumulation of the National union catalog . . . Motion pictures and filmstrips.