Algebraic Methods in Statistical Mechanics and Quantum Field Theory (Dover Books on Physics) - Softcover

Dr. Gerard G. Emch

Softcover

ISBN 10: 0486472094 ISBN 13: 9780486472096

Publisher: Dover Publications, 2009

Synopsis

This systematic algebraic approach concerns problems involving a large number of degrees of freedom. It extends the traditional formalism of quantum mechanics, and it eliminates conceptual and mathematical difficulties common to the development of statistical mechanics and quantum field theory. Further, the approach is linked to research in applied and pure mathematics, offering a reflection of the interplay between formulation of physical motivations and self-contained descriptions of the mathematical methods.
The four-part treatment begins with a survey of algebraic approaches to certain physical problems and the requisite tools. Succeeding chapters explore applications of the algebraic methods to representations of the CCR/CAR and quasi-local theories. Each chapter features an introduction that briefly describes specific motivations, mathematical methods, and results. Explicit proofs, chosen on the basis of their didactic value and importance in applications, appear throughout the text. An excellent text for advanced undergraduates and graduate students of mathematical physics, applied mathematics, statistical mechanics, and quantum theory of fields, this volume is also a valuable resource for theoretical chemists and biologists.

Edition details

• Publisher: Dover Publications
• Publication date: 2009
• Language: English
• ISBN 10: 0486472094
• ISBN 13: 9780486472096
• Binding: Paperback
• Number of pages: 352