Vladimir E. Korepin's Books

Quantum Inverse Scattering Method and Correlation Functions

By: V. E. Korepin,Vladimir E. Korepin,N. M. Bogoliubov,A. G. Izergin

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Quantum Inverse Scattering Method and Correlation Functions

By: V. E. Korepin,Vladimir E. Korepin,N. M. Bogoliubov,A. G. Izergin

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.

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Page Count

582

Publisher

Cambridge University Press

Published Date

ISBN 10

0521586461

ISBN 13

9780521586467

Exactly Solvable Models of Strongly Correlated Electrons

By: Vladimir E. Korepin,Fabian H. L. Essler

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Exactly Solvable Models of Strongly Correlated Electrons

By: Vladimir E. Korepin,Fabian H. L. Essler

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.

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Page Count

506

Publisher

World Scientific

Published Date

ISBN 10

9810215347

ISBN 13

9789810215347

The One-Dimensional Hubbard Model

By: Fabian H. L. Essler,Holger Frahm,Frank Göhmann,Andreas Klümper,Vladimir E. Korepin

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The One-Dimensional Hubbard Model

By: Fabian H. L. Essler,Holger Frahm,Frank Göhmann,Andreas Klümper,Vladimir E. Korepin

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.

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Age

Page Count

692

Publisher

Cambridge University Press

Published Date

ISBN 10

1139441582

ISBN 13

9781139441582

Book's by Vladimir E. Korepin

Quantum Inverse Scattering Method and Correlation Functions

Quantum Inverse Scattering Method and Correlation Functions

Exactly Solvable Models of Strongly Correlated Electrons

Exactly Solvable Models of Strongly Correlated Electrons

The One-Dimensional Hubbard Model

The One-Dimensional Hubbard Model

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