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Saturday, May 16, 2020 | History

4 edition of Solvable models in algebraic statistical mechanics found in the catalog.

Solvable models in algebraic statistical mechanics

by D. A. Dubin

  • 13 Want to read
  • 15 Currently reading

Published by Clarendon Press in Oxford .
Written in English


Edition Notes

Statementby D. A. Dubin.
SeriesOxford science research papers
Classifications
LC ClassificationsQC174.8 .D8
The Physical Object
Paginationvi, 121 p. ;
Number of Pages121
ID Numbers
Open LibraryOL5236122M
ISBN 100198533411
LC Control Number75306811

Destination page number Search scope Search Text Search scope Search Text. Kadomtsev–Petviashvili equation Davey–Stewartson equation Ishimori equation Novikov-Veselov equation.

model in statistical mechanics and field theory. For statistical lattice models, it is well known that a model is solvable by techniques of commuting transfer matrices if the Boltzmann weights satisfy the Yang-Baxter equation. There are a number of notable Yang-Baxter solvable lattice models which have been extensively studied in both. Low-Dimensional Models in Statistical Physics and Quantum Field Theory This book contains thoroughly written reviews of modern developments in low-dimensional modelling of statistical mechanics and quantum systems. It addresses students as well as researchers. The main items can be grouped into integrable (quantum) spin systems, which lead.

This book is 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 by: 1. Surveys recent development on the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras. Assumes no prior knowledge of lattice models and representation theory. Uses the spin 1/2 XXZ chain and the six-vertex model as examples, and discusses the Yang-Baxter equation, corner transfer matrices, vertex operators, and the Frenkel.


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Solvable models in algebraic statistical mechanics by D. A. Dubin Download PDF EPUB FB2

Solvable models in algebraic statistical mechanics (Oxford science research papers) [Dubin, D. A] on *FREE* shipping on qualifying offers. Solvable models in algebraic statistical mechanics (Oxford science research papers)Cited by: Share - Solvable Models in Algebraic Statistical Mechanics by D.A.

Dubin (, Book) Solvable Models in Algebraic Statistical Mechanics by D.A. Dubin (, Book) Be the first to write a review. Algebraic Statistical Mechanics. - LPTMC. Baxter Exactly Solved Models and Beyond. Palm Cove Algebraic Statistical Mechanics.

J-M. model corresponds to an integrable foliation of its CP15 parameter elliptic functions, modular forms, and it is not 4F3-solvable if one. Based on the NSF-CBMS Regional Conference lectures presented by Miwa in Junethis book surveys recent developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras.

Introducing a class of lattice models called the IRF models, it is shown that there exists an infinite number of exactly solvable models in 2-dimen-sional statistical mechanics.

Significances both in physics and mathematics are by: Publisher Summary This chapter discusses the solvable models in statistical mechanics and Riemann surfaces of genus greater than one. Most recently, it was discovered that there is an N -state generalization of the Ising model which seems to possess all of its nice properties.

This model is the chiral Potts model or Z N symmetric model. Exactly Solved Models in Statistical Mechanics by Rodney Baxter. Rodney Baxter's classic book has been cited over 3, times. The Solvable models in algebraic statistical mechanics book is officially out of print.

Abstract. In this section we describe four models of quantum statistical mechanics, namely, the BCS (Bardeen -Cooper-Schrieffer) model of superconductivity, the Bogolyubov model of superfluidity, the model of Huang, Yang, and Luttinger, and the Peierls-Frohlich : D.

Petrina. Publisher Summary This chapter discusses the solvable models in statistical mechanics and Riemann surfaces of genus greater than one. Most recently, it was discovered that there is an N -state generalization of the Ising model which seems to possess all of its nice properties.

This model is the chiral Potts model or Z N symmetric by: Fundamental Problems in Statistical Mechanics, VIII pattern formation, turbulence, exactly solvable models, polymers, phase transitions in colloids, interfaces and two-dimensional gravity. Show less. In keeping with the tradition of previous summer schools on fundamental problems in statistical mechanics, this book contains in depth.

Algebraic Analysis of Solvable Lattice Models (Cbms Regional Conference Series in Mathematics) [Michio Jimbo and Tetsuji Miwa] on *FREE* shipping on qualifying offers.

Algebraic Analysis of Solvable Lattice Models (Cbms Regional Conference Series in Mathematics)Cited by: Solvable models in algebraic statistical mechanics. Oxford: Clarendon Press, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: D A Dubin.

The paths can be introduced naturally in the study of solvable lattice models in statistical mechanics, notably the computation of the one point functions.

A Maya diagram is a sequence consisting of white or black squares, labeled by integers, and arranged on a horizontal line. 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 : Hardcover.

Condensed Matter > Statistical Mechanics. Title: Introduction to solvable lattice models in statistical and We also introduce various exactly solvable models defined on two-dimensional lattices such as the chiral Potts model and the IRF models.

We can thus easily translate formulas of the algebraic Bethe ansatz into those of the Cited by: 3. Furthermore, we can understand the defining relation of the algebraic Bethe ansatz by the graphical representation.

We can thus easily translate formulas of the algebraic Bethe ansatz into those of the statistical models. As an illustration, we show explicitly how we can derive Baxter's expressions from those of the algebraic Bethe ansatz.

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. In the exact study of two-dimensional statistical mechanics and quantum field theory, two approaches are presently available: solvable lattice models (SLMs) and conformal field theory (CFT).

The ideas and methods in these approaches are quite independent of each by: 1. Solvable Models in Statistical Mechanics and Riemann Surfaces of Genus Greater than One Linearization and Singular Partial Differential Equations On the Notions of Scattering State, Potential, and Wave-Function in Quantum Field Theory: An Analytic-Functional Viewpoint Two Remarks on Recent Developments in Solvable Models Hypergeometric FunctionsBook Edition: 1.

vates the introduction an algebraic formulation of quantum statistical mechanics without any (explicit) references to Hilbert spaces.

This description will be the main subject of this course on the mathematics of quantum phase transitions. Bibliography: [1] Emch, Algebraic Methods in Statistical Mechanics and Quantum Field Theory.

Dover. New File Size: 1MB. A generic Hopf algebra for quantum statistical mechanics. A I Solomon 1,2, G H E Duchamp 3, P Blasiak 4, show the relation of the preceding considerations to the computation of the canonical partition function Z in quantum statistical mechanics, and introduce the partition function This may be thought of as a simple solvable model in.The author did a great job in selecting the topics in this book.

The first half of the book is a clear introduction to statistical mechanics and its applications to spin systems. The second half is devoted to more advanced topics including conformal field theory and statistical models away from by: This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory.

Recent developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics. For example, Young tableaux, which describe the basis of irreducible representations, appear in the Bethe Ansatz method in.