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Quantum Statistical Mechanics

Equilibrium and non-equilibrium theory from first principles
Phil Attard


This book establishes the foundations of non-equilibrium quantum statistical mechanics in order to support students and academics in developing and building their understanding. The formal theory is derived from first principles by mathematical analysis, with concrete physical interpretations and worked examples throughout. It explains the central role of entropy; its relation to the probability operator and the generalisation to transitions, as well as providing first principles derivation of the von Neumann trace form, the Maxwell-Boltzmann form and the Schrödinger equation.

About Editors

Phil Attard is a research scientist working broadly in the areas of statistical mechanics, thermodynamics, and colloid and surface science. He has held academic positions at various universities in Australia, Europe and North America, and he was a Professorial Research Fellow of the Australian Research Council. He has authored some 120 papers, 10 review articles and three books, with more than 5000 citations.

Table of Contents

1 Probability Operator and Statistical Averages
2 Examples and Applications: Equilibrium
3 Probability in Quantum Systems
4 Time Propagator for an Open Quantum System
5 Evolution of the Canonical Equilibrium System
6 Probability Operator for Non-Equilibrium Systems
A Probability Densities and the Statistical Average
B Stochastic State Transitions for a Non-Equilibrium System
C Entropy Eigenfunctions, State Transitions, and Phase Space


Hardback ISBN: 9780750311892

Ebook ISBN: 9780750311885

DOI: 10.1088/978-0-7503-1188-5

Publisher: Institute of Physics Publishing


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