Classical Limit of Sine-Gordon Thermodynamics Using Bethe-Ansatz PDF Download

Author: Niu-Niu Chen
Publisher:
ISBN:
Category : Nonlinear theories
Languages : en
Pages : 148

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Author: Alan R. Bishop
Publisher: Springer Science & Business Media
ISBN: 3642830331
Category : Science
Languages : en
Pages : 410

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The Sixth Annual Conference of the Center for Nonlinear Studies at the Los Alamos National Laboratory was held May 5-9, 1986, on the topic "Nonlinearity in Condensed Matter: Lessons from the Past and Prospects for the Future. " As conference organizers, we felt that the study of non linear phenomena in condensed matter had matured to the point where it made sense to take stock of the numerous lessons to be learned from a variety of contexts where nonlinearity plays a fundamental role and to evaluate the prospects for the growth of this general discipline. The successful 1978 Oxford Symposium on nonlinear (soliton) struc ture and dynamics in condensed matter (Springer Ser. Solid-State Sci. , Vol. 8) was held at a time when the ubiquity of solitons was just begin ning to be appreciated by the condensed matter community; in subsequent years the soliton paradigm has provided a rather useful framework for in vestigating a large number of phenomena, particularly in low-dimensional systems. Nevertheless, we felt that the importance of nonlinearity in wider arenas than "solitonics" merited a significant expansion in the scope of the conference over that of the 1978 symposium. Indeed, many of the lessons are quite general and their potential for cross-fertilization of otherwise poorly connected disciplines was certainly one of the prime motivations for this conference. Thus, while these proceedings contain many contribu tions pertaining to soliton behavior in different contexts, the reader will find much more as well, particularly in the later chapters.

Author: Xenophon Zotos
Publisher:
ISBN:
Category : Thermodynamics
Languages : en
Pages : 128

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Author: V. E. Korepin
Publisher: Cambridge University Press
ISBN: 9780521586467
Category : Mathematics
Languages : en
Pages : 582

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The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Go rdon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians.The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results.The book will be essential reading for all mathematical physicists working in field theory and statistical physics.

Author: Ladislav Šamaj
Publisher: Cambridge University Press
ISBN: 1107067669
Category : Science
Languages : en
Pages : 525

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Including topics not traditionally covered in literature, such as (1+1)-dimensional QFT and classical 2D Coulomb gases, this book considers a wide range of models and demonstrates a number of situations to which they can be applied. Beginning with a treatise of nonrelativistic 1D continuum Fermi and Bose quantum gases of identical spinless particles, the book describes the quantum inverse scattering method and the analysis of the related Yang–Baxter equation and integrable quantum Heisenberg models. It also discusses systems within condensed matter physics, the complete solution of the sine-Gordon model and modern trends in the thermodynamic Bethe ansatz. Each chapter concludes with problems and solutions to help consolidate the reader's understanding of the theory and its applications. Basic knowledge of quantum mechanics and equilibrium statistical physics is assumed, making this book suitable for graduate students and researchers in statistical physics, quantum mechanics and mathematical and theoretical physics.

Author: Lokenath Debnath
Publisher: CUP Archive
ISBN: 9780521254687
Category : Mathematics
Languages : en
Pages : 376

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The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.

Author: P. Monceau
Publisher: Springer Science & Business Media
ISBN: 9401569231
Category : Science
Languages : en
Pages : 260

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Book Description
The close relationship between experimentalists and theorists – whether solid state chemists or physicists – has, in the last few years, inspired much research in the field of materials with quasi one-dimensional structures. This volume, Part I of a two-volume set, reviews the basic theories describing the physical properties of one-dimensional materials including their superconducting characteristics. This description is mainly based on the properties of transition metal trichalcogenides. The novel collective transport mechanism for electronic conduction, exhibited by some of the latter compounds – NbSe3 being considered as the prototype – is surveyed according to a classical theory and a theory including macroscopic quantum effects. In addition, the book contains a description of the properties of non-linear excitations, or solitons, in one-dimensional systems.

Author: Shozo Takeno
Publisher: Springer Science & Business Media
ISBN: 3662024497
Category : Science
Languages : en
Pages : 292

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This volume contains most of the papers presented in the oral session of the 7th Kyoto Summer Institute (KSI) . on Dynamical Problems in Soliton Systems, held in Kyoto from August 27 to 31, 1984. Furthermore, it contains contributions of R.K. Bullough, H.H. Chen, A.S. Davydov, and N. Sanchez, who unfortunately could not attend. Thirty-six papers were presented in the oral session and 17 papers in the poster session. The meeting brought together 109 physicists and mathematicians, of which 22 were from abroad (see group photograph). The KSI is an international meeting organized by the Research Institute for Fundamental Physics (RIFP), Kyoto University to discuss various cur re nt problems of fundamental importance in theoretical physics. The 7th KSI was the first international meeting on solitons in Japan. Early in 1983, it was feit in the RIFP that the time was ripe for a conference dealing with problems concerning solitons. The RIFP asked us to organize the confer ence. The Organizing Committee consisted of: R. Hirota (Hiroshima) T. Taniuti (Nagoya) Y.H. Ichikawa (Nagoya) M. Toda (Tokyo) Z. Maki (Kyoto) M. Wadati (Tokyo) N. Yajima (Fukuoka) S. Takeno (Kyoto) Since its discovery, the study of the soliton as a stable particle-like state of nonlinear systems has caught the imagination of physicists and mathemati cians.

Author: P J Steinhardt
Publisher: World Scientific Publishing Company
ISBN: 9813103841
Category : Science
Languages : en
Pages : 788

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This book comprises an introductory lecture outlining the basic concepts and challenges in the field. This is followed by a collection of reprinted articles which are important in understanding the subject. The book will focus mainly on mathematical and physical foundations of the subject rather than experimental progress. By concentrating on theoretical topics, this volume has long-lasting as well as immediate value to physicists, crystallographers, metallurgists and mathematicians. Request Inspection Copy

Author: R. Z. Sagdeev
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 590

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