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## Details

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. |

More information: |

### 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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