Exactly Solved Models in Statistical Mechanics

Exactly Solved Models in Statistical Mechanics PDF Author: Rodney J. Baxter
Publisher: Elsevier
ISBN: 1483265943
Category : Science
Languages : en
Pages : 499

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Book Description
Exactly Solved Models in Statistical Mechanics

Exactly Solved Models in Statistical Mechanics

Exactly Solved Models in Statistical Mechanics PDF Author: Rodney J. Baxter
Publisher: Elsevier
ISBN: 1483265943
Category : Science
Languages : en
Pages : 499

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Book Description
Exactly Solved Models in Statistical Mechanics

Exactly Solved Models

Exactly Solved Models PDF Author: Fa Yueh Wu
Publisher: World Scientific
ISBN: 9812813896
Category : Mathematics
Languages : en
Pages : 661

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Book Description
This unique volume provides a comprehensive overview of exactly solved models in statistical mechanics by looking at the scientific achievements of F Y Wu in this and related fields, which span four decades of his career. The book is organized into topics ranging from lattice models in condensed matter physics to graph theory in mathematics, and includes the author's pioneering contributions. Through insightful commentaries, the author presents an overview of each of the topics and an insider's look at how crucial developments emerged. With the inclusion of important pedagogical review articles by the author, Exactly Solved Models is an indispensable learning tool for graduate students, and an essential reference and source book for researchers in physics and mathematics as well as historians of science.

Statistical Field Theory

Statistical Field Theory PDF Author: G. Mussardo
Publisher: Oxford University Press, USA
ISBN: 0199547580
Category : Mathematics
Languages : en
Pages : 778

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Book Description
A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.

Exactly Solved Models

Exactly Solved Models PDF Author: Fa Yueh Wu
Publisher: World Scientific
ISBN: 9812813888
Category : Science
Languages : en
Pages : 661

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Book Description
Organized into topics ranging from lattice models in condensed matter physics to graph theory in mathematics. This title presents an overview of each of the topics and a look at how crucial developments emerged.

Beautiful Models

Beautiful Models PDF Author: Bill Sutherland
Publisher: World Scientific
ISBN: 9789812388971
Category : Science
Languages : en
Pages : 404

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Book Description
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.

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

Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension (3rd Printing With Revisions And Corrections) PDF Author: Daniel C Mattis
Publisher: World Scientific
ISBN: 9814505579
Category : Science
Languages : en
Pages : 992

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Book Description
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.

Thermodynamics of One-Dimensional Solvable Models

Thermodynamics of One-Dimensional Solvable Models PDF Author: Minoru Takahashi
Publisher: Cambridge University Press
ISBN: 9780521551434
Category : Science
Languages : en
Pages : 268

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Book Description
Exactly solvable models are very important in physics from a theoretical point of view and also from the experimentalist's perspective, because in such cases theoretical results and experimental results can be compared without ambiguity. This is a book about an important class of exactly solvable models in physics. The subject area is the Bethe-ansatz approach for a number of one-dimensional models, and the setting up of equations within this approach to determine the thermodynamics of these systems. It is a topic that crosses the boundaries among condensed matter physics, mathematics and field theory. The derivation and application of thermodynamic Bethe-ansatz equations for one-dimensional models are explained in detail. This technique is indispensable for physicists studying the low-temperature properties of one-dimensional substances. Written by the originator of much of the work in the subject, this book will be of great interest to theoretical condensed matter physicists.

Solvable Models in Quantum Mechanics

Solvable Models in Quantum Mechanics PDF Author: Sergio Albeverio
Publisher: Springer Science & Business Media
ISBN: 3642882013
Category : Science
Languages : en
Pages : 458

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Book Description
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.

Exactly Solvable Models of Strongly Correlated Electrons

Exactly Solvable Models of Strongly Correlated Electrons PDF Author: Vladimir E. Korepin
Publisher: World Scientific
ISBN: 9789810215347
Category : Technology & Engineering
Languages : en
Pages : 506

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Book Description
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.

Off-Diagonal Bethe Ansatz for Exactly Solvable Models

Off-Diagonal Bethe Ansatz for Exactly Solvable Models PDF Author: Yupeng Wang
Publisher: Springer
ISBN: 3662467569
Category : Science
Languages : en
Pages : 303

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Book Description
This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.