The Beautiful Models

This invaluable book provides a broad introduction to the fascinating and beautiful subject of many-body quantum systems that can be solved exactly. The subject began with Bethe's famous solution of the one-dimensional Heisenberg magnet more than 70 years ago, soon after the invention of quantum mechanics. Since then, the diversity and scope of such systems have been steadily growing.

Beautiful Models is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and even ambitious undergraduates in physics. It is also suitable for the non-experts in physics who wish to have an overview of some of the classic and fundamental models in the subject. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.

Contents:

• Integrability and Nondiffraction
• Techniques
• The Classical Limit
• Groundstate Wavefunctions of Product Form
• The Heisenberg–Ising Model
• Consistency
• Exchange Models
• The Sinh–Cosh Model
• Exchange Lattice Systems by Freezing
• The Hubbard Model

Readership: Advanced undergraduates and graduate students in physics; non-experts interested in exactly solved quantum many-body systems.

“This book is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.”

Mathematical Reviews

“… is a beautifully written book that aims to unveil some of the mystery behind the exact solutions and allow any advanced student access to this vast and fertile field … My favorite part of the book, chapters 8 through 10, deals with Calogero–Sutherland models describing particles that interact via long-range exchange interactions. These models, not as heavily studied as the Heisenberg or Hubbard model, are fascinating in their own right and require significant generalizations of the standard methods. The book provides a welcome introduction presented with verve and clarity.”

Source : http://www.worldscibooks.com/physics/5552.html