Exactly Solvable Models In Many Body Theory PDF Download
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Author | : N H March |
Publisher | : World Scientific |
Total Pages | : 348 |
Release | : 2016-05-27 |
Genre | : Science |
ISBN | : 981314016X |
Download Exactly Solvable Models in Many-Body Theory Book in PDF, ePub and Kindle
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 | : Norman Henry March |
Publisher | : |
Total Pages | : 330 |
Release | : 2016 |
Genre | : SCIENCE |
ISBN | : 9789813140158 |
Download Exactly Solvable Models for Cluster and Many-body Condensed Matter Systems Book in PDF, ePub and Kindle
Author | : Rodney J. Baxter |
Publisher | : Elsevier |
Total Pages | : 498 |
Release | : 2016-06-12 |
Genre | : Science |
ISBN | : 1483265943 |
Download Exactly Solved Models in Statistical Mechanics Book in PDF, ePub and Kindle
Exactly Solved Models in Statistical Mechanics
Author | : Sergio Albeverio |
Publisher | : Springer Science & Business Media |
Total Pages | : 458 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642882013 |
Download Solvable Models in Quantum Mechanics Book in PDF, ePub and Kindle
Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.
Author | : Zachary N C Ha |
Publisher | : World Scientific |
Total Pages | : 168 |
Release | : 1996-09-13 |
Genre | : Science |
ISBN | : 9814500372 |
Download Quantum Many-Body Systems in One Dimension Book in PDF, ePub and Kindle
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 | : Daniel Charles Mattis |
Publisher | : World Scientific |
Total Pages | : 992 |
Release | : 1993 |
Genre | : Science |
ISBN | : 9810214766 |
Download The Many-body Problem Book in PDF, ePub and Kindle
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 | : Vladimir E. Korepin |
Publisher | : World Scientific |
Total Pages | : 506 |
Release | : 1994 |
Genre | : Technology & Engineering |
ISBN | : 9789810215347 |
Download Exactly Solvable Models of Strongly Correlated Electrons Book in PDF, ePub and Kindle
Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-c superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography.
Author | : Bill Sutherland |
Publisher | : World Scientific |
Total Pages | : 404 |
Release | : 2004 |
Genre | : Science |
ISBN | : 9789812388971 |
Download Beautiful Models Book in PDF, ePub and Kindle
Key Features; An original book - not just a collection of reprints - by an expert, and in many cases the originator, in the field; Although most of the important results are derived, the book also discusses in depth the motivation and meaning of these results; The intrinisic beauty of these models and their solution is emphasized throughout the text, in part by unique full-color figures Readership: Advanced undergraduates and graduate students in physics; non-experts interested in exactly solved quantum many-body systems.
Author | : Vladimir E Korepin |
Publisher | : World Scientific |
Total Pages | : 504 |
Release | : 1994-05-24 |
Genre | : Science |
ISBN | : 981450274X |
Download Exactly Solvable Models of Strongly Correlated Electrons Book in PDF, ePub and Kindle
Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-Tc superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography. Contents:One-Dimensional Hubbard ModelThe Supersymmetric t-J ModelOther Models of Strongly Correlated Electrons: Models with Local InteractionModels with Long-Range Interaction Readership: Mathematical physicists and condensed matter physicists. keywords:Hubbard Model;Bethe Ansatz;t-J Model;Charge and Spin Separation;Thermodynamics;Magnetism;Correlation Functions;Cattering Matrix;Luttinger Liqud;Confomal Field Theory
Author | : Bill Sutherland |
Publisher | : World Scientific Publishing Company |
Total Pages | : 400 |
Release | : 2004-06-21 |
Genre | : Science |
ISBN | : 9813102144 |
Download Beautiful Models Book in PDF, ePub and Kindle
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.