Document Type
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BL
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Record Number
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874447
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Uniform Title
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Funktsionalʹnye metody v kvantovoĭ teoriĭ poli︠a︡ i statistike.English
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Main Entry
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Vasilʹev, A. N.
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Title & Author
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Functional methods in quantum field theory and statistical physics /\ A.N. Vasiliev ; translated from the Russian by Patricia A. Millard.
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Publication Statement
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Boca Raton, FL :: CRC Press,, [1998]
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Page. NO
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1 online resource
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ISBN
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0203755391
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: 1351446819
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: 9780203755396
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: 9781351446815
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9789056990350
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Bibliographies/Indexes
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Includes bibliographical references and index.
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Contents
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Cover; Half Title; Title Page; Copyright Page; Table of Contents; Foreword; Preface; Chapter 1: THE BASIC FORMALISM OF FIELD THEORY; 1.1 Fields and Products; 1.1.1 Canonical quantization; 1.1.2 The classical free theory; 1.1.3 Anticommuting fields; 1.1.4 The normal-ordered product of free-field operators; 1.2 Functional Formulations of Wick's Theorem; 1.2.1 Wick's theorem for a simple product; 1.2.2 The Sym-product and the T-product; 1.2.3 Wick's theorem for symmetric products; 1.2.4 Reduction formulas for operator functionals; 1.2.5 The Wick and Dyson T-products
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1.3 The S-Matrix and Green Functions1.3.1 Definitions; 1.3.2 Transformation to the interaction picture in the evolution operator; 1.3.3 Transformation to the interaction picture for the Green functions; 1.3.4 Interactions containing time derivatives of the field; 1.3.5 Generating functionals for the S-matrix and Green functions; 1.4 Graphs; 1.4.1 Perturbation theory; 1.4.2 Some concepts from graph theory; 1.4.3 Symmetry coefficients; 1.4.4 Recursion relation for the symmetry coefficients; 1.4.5 Transformation to Mayer graphs for the exponential interaction
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Subject
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Functional analysis.
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Subject
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Quantum field theory.
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Subject
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Quantum statistics.
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Subject
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Functional analysis.
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Subject
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Quantum field theory.
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Subject
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Quantum statistics.
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Subject
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SCIENCE-- Energy.
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Subject
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SCIENCE-- Mechanics-- General.
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Subject
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SCIENCE-- Physics-- General.
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Dewey Classification
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530.14/3
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LC Classification
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QC174.52.F8V3713 1998
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Added Entry
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Millard, Patricia A.
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