Methods in statistical mechanics: a modern view

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This book presents a variety of techniques for tackling phenomena that are not amenable to the conventional approach based on the concept of probabilities. The methods described rely on the use of path integration, thermal Green functions, time-temperature propagators, Liouville operators, second quantization, and field correlators at finite density and temperature. Also exploring the statistical mechanics of unstable quantum systems, the book is intended as a supplementary or reference text fo…

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Title Statements

Full title :Methods in statistical mechanics : a modern view / Osvaldo Civitarese, Manuel Gadella.

Summary

Edition Statements

Publication Date:2020.

Publication Statements

Publisher(s):Springer
Place of Publication:Cham, Switzerland
Language:eng
Publication Date:2020.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9783030536589, 3030536580
DOI:10.1007/978-3-030-53658-9
oclc:on1195923431
LC Classification:QC174.8
Dewey Decimal:530.1

Intro -- Preface -- Contents -- About the Authors -- 1 An Introduction to Statistical Mechanics -- 1.1 Partition Functions -- 1.1.1 Systems with Discrete Spectrum -- 1.2 Partition Function for a Gas of Photons -- 1.2.1 The Blackbody Radiation -- 1.3 The Maxwell Distribution -- 1.4 Classical Statistical Mechanics -- 1.4.1 On the Equipartition Theorem -- 1.5 Systems with a Variable Number of Particles -- 1.5.1 On the Classical Limits of Quantum Statistics -- 1.5.2 The Grand Canonical Partition Function in the Continuum Limit -- 1.6 Some Features of Quantum Distributions -- 1.6.1 Fermions

1.6.2 Bosons -- 1.7 Bose-Einstein Condensation -- 1.7.1 Massive Fermions in the Relativistic Limit -- 1.7.2 Massless Relativistic Fermions -- 1.8 Summary -- 2 The Role of Dynamics in Statistical Mechanics -- 2.1 Statistic Distributions -- 2.1.1 The Liouville Theorem -- 2.1.2 The Role of First Integrals -- 2.1.3 The Quantum Case -- 2.2 Averages and Fluctuations -- 2.3 Summary -- 2.3.1 H-Theorem and Approach to Equilibrium -- 2.4 Perturbative Method for the Density Operator -- 2.4.1 The Partition Function -- 2.5 Summary -- 3 Operator Representations of the Statistical Mechanics -- 3.1 Introduction

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Subjects

applied mathematics Chemistry, Physical and theoretical Chimie physique et théorique Mathematical physics MATHEMATICS -- Applied Mécanique statistique physical chemistry Physique mathématique Quantum & theoretical chemistry Science -- Chemistry SCIENCE -- Mathematical Physics SCIENCE -- Mechanics Statistical mechanics System theory Théorie des systèmes Thermodynamics & heat