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Algebraic methods in statistical mechanics and quantum field theory

Author: Gérard G Emch
Publisher: Mineola, N.Y. : Dover Publications, 2009.
Edition/Format:   eBook : Document : English : Dover editionView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Emch, Gérard G.
Algebraic methods in statistical mechanics and quantum field theory.
(DLC) 2009000030
(OCoLC)294885233
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gérard G Emch
ISBN: 9780486151717 0486151719 1322044554 9781322044552
OCLC Number: 889220627
Notes: Originally published: New York : Wiley-Interscience, 1972.
Description: 1 online resource (xiv, 333 pages) : illustrations
Contents: Cover; Title Page; Contents; Chapter I. General Motivation; Chapter II. Global Theories; Chapter III. Canonical Commutation and anticommutation Relations; Chapter IV. Quasi-Local Theories; Bibliography; Index.
Responsibility: Gérard G. Emch.
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Abstract:

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.

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