Overview

This book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.

Full Product Details

Author:   Carolyne M Van Vliet (Univ De Montreal, Canada & Univ Of Miami, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Edition:   New & Revised ed
Dimensions:   Width: 17.80cm , Height: 3.80cm , Length: 25.40cm
Weight:   1.678kg
ISBN:  

9789812704771

ISBN 10:   9812704779
Pages:   992
Publication Date:   18 June 2008
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Equilibrium Statistical Mechanics: General Principles of Many-Particle Systems; Classical and Quantum Formalisms. The Boltzmann Gas, the Perfect Bose Gas and Fermi Gas; Quantum Systems with Strong Interactions; Non-Equilibrium Statistical Mechanics: Classical Transport Theory; Linear Response Theory and Quantum Transport; Stochastic Phenomena; Appendices: The Schrodinger, Heisenberg and Interaction Pictures; Spin and Statistics.

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