Chapman & Hall/CRC research notes in mathematics series ;
435
Includes bibliographical references (pages 399-409) and index.
Book Cover; Title; Copyright; Contents; Preface; Chapter 1 Nonlinear Systems and Classical IST; Chapter 2 Coordinate Bethe Ansatz; Chapter 3 Yang-Baxter Equation; Chapter 4 Continuous Integrable Systems; Chapter 5 Algebraic Bethe Ansatz; Chapter 6 Integrable Long-Range Models; Chapter 7 Separation of Variables; Chapter 8 Backlund Transformations; Chapter 9 Quantum GLM Equation; Appendix A Direct Product Calculus; Appendix B Grassman Algebra; Appendix C The Bethe Ansatz Equation; Appendix D The AKNS Problem; References; Index.
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Over the past 30 years, significant advances have been made in the field of integrable systems and their applications in statistical mechanics and mathematical physics, yet no book on the subject has been published since 1993. This monograph, the work of established authors in quantum mechanics, introduces the subject in a clear, logical way. The treatment first builds the background in classical physics and nonlinear systems, then moves to the quantum case before presenting the latest research and applications. The authors' clear approach and examples based on concrete physical models rather.