The Bethe Wavefunction
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Author | : Michel Gaudin |
Publisher | : Cambridge University Press |
Total Pages | : 341 |
Release | : 2014-03-06 |
Genre | : Science |
ISBN | : 1107783119 |
Michel Gaudin's book La fonction d'onde de Bethe is a uniquely influential masterpiece on exactly solvable models of quantum mechanics and statistical physics. Available in English for the first time, this translation brings his classic work to a new generation of graduate students and researchers in physics. It presents a mixture of mathematics interspersed with powerful physical intuition, retaining the author's unmistakably honest tone. The book begins with the Heisenberg spin chain, starting from the coordinate Bethe Ansatz and culminating in a discussion of its thermodynamic properties. Delta-interacting bosons (the Lieb-Liniger model) are then explored, and extended to exactly solvable models associated to a reflection group. After discussing the continuum limit of spin chains, the book covers six- and eight-vertex models in extensive detail, from their lattice definition to their thermodynamics. Later chapters examine advanced topics such as multi-component delta-interacting systems, Gaudin magnets and the Toda chain.
Author | : Christopher King |
Publisher | : World Scientific |
Total Pages | : 234 |
Release | : 1997-02-26 |
Genre | : |
ISBN | : 9814546593 |
This volume contains the proceedings of the conference on 'Exactly Soluble Models in Statistical Mechanics: Historical Perspectives and Current Status', held at Northeastern University in March 1996 — the first ever conference to deal exclusively with this topic. Besides invited presentations by leading researchers in the field, the conference held a session of contributed papers by participants from throughout the world. The proceedings, which include both the invited and the contributed papers, reflect the broad range of interest in exactly soluble models as well as the diverse fields in physics and mathematics that they connect. Apart from providing concise and timely reviews, the papers in this volume give a snapshot of the current state of affairs. The topics covered range from a historical survey of the field (by E H Lieb) to the latest formulation of a star-star transformation of spin models (by R J Baxter).
Author | : V. E. Korepin |
Publisher | : Cambridge University Press |
Total Pages | : 582 |
Release | : 1997-03-06 |
Genre | : Mathematics |
ISBN | : 9780521586467 |
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 | : G. Mussardo |
Publisher | : Oxford University Press, USA |
Total Pages | : 778 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0199547580 |
A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.
Author | : Fabian H. L. Essler |
Publisher | : Cambridge University Press |
Total Pages | : 692 |
Release | : 2005-02-07 |
Genre | : Science |
ISBN | : 1139441582 |
This book presents an account of the exact solution of the Hubbard model in one dimension. The early chapters develop a self-contained introduction to Bethe's ansatz and its application to the one-dimensional Hubbard model. The later chapters address more advanced topics.
Author | : A. G. Sitenko |
Publisher | : Elsevier |
Total Pages | : 317 |
Release | : 2014-06-28 |
Genre | : Science |
ISBN | : 1483295419 |
Provides an advanced and up-to-date account of the theory of nuclear structure and discusses in considerable detail both the superfluid and collective models of the nucleus, in addition to earlier complementary models and theories. The book also examines other important topics such as the rotational and vibrational spectra of nuclei which have not previously been treated in such depth. To summarize, it covers a large amount of theoretical ground in one volume and attempts to fill a serious gap in the literature. Many problems are included
Author | : F.A. Gianturco |
Publisher | : Springer Science & Business Media |
Total Pages | : 288 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642465021 |
Author | : Fatkhulla Abdullaev |
Publisher | : Springer Science & Business Media |
Total Pages | : 563 |
Release | : 2006-03-02 |
Genre | : Science |
ISBN | : 1402021909 |
Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schrödinger equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed. Particular attention is given to nonlinear matter waves in periodic potential.
Author | : Alexander S. Shumovsky |
Publisher | : Springer Science & Business Media |
Total Pages | : 372 |
Release | : 2003-12-31 |
Genre | : Science |
ISBN | : 140201452X |
Remarkable recent developments in the field of quantum communications and quantum information processing include the achievement of quantum teleportation, quantum communication channels based on entangled states, and the discovery of quantum computing algorithms. The present book addresses the physical foundations of the subject, as well as the technological problems, discussing such aspects as photonics, quantum imaging, engineered entanglement in atomic and other physical systems, Bose-Einstein condensation, and decoherence. Indispensable reading for graduates and Ph.D. students in departments of physics, electrical and electronic engineering, mathematics, and computer science seeking both an orientation as well as advanced training in the field.
Author | : |
Publisher | : Academic Press |
Total Pages | : 318 |
Release | : 1975-12-18 |
Genre | : Science |
ISBN | : 0080582346 |
Advances in Quantum Chemistry