Methods in Statistical Mechanics: A Modern View

✍ Scribed by Osvaldo Civitarese, Manuel Gadella

• Publisher: Springer International Publishing;Springer
• Year: 2020
• Tongue: English
• Leaves: 185
• Series: Lecture Notes in Physics 974
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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 for use in one-semester graduate courses on Quantum Mechanics, Thermodynamics, Electromagnetism, and Mathematical Methods in Physics.

✦ Table of Contents

Front Matter ....Pages i-xi
An Introduction to Statistical Mechanics (Osvaldo Civitarese, Manuel Gadella)....Pages 1-43
The Role of Dynamics in Statistical Mechanics (Osvaldo Civitarese, Manuel Gadella)....Pages 45-61
Operator Representations of the Statistical Mechanics (Osvaldo Civitarese, Manuel Gadella)....Pages 63-89
Path Integrals and Applications (Osvaldo Civitarese, Manuel Gadella)....Pages 91-105
The Liouville Equation (Osvaldo Civitarese, Manuel Gadella)....Pages 107-132
Canonical Distributions and Thermodynamic Functions (Osvaldo Civitarese, Manuel Gadella)....Pages 133-146
The Statistical Mechanics of Unstable Quantum States (Osvaldo Civitarese, Manuel Gadella)....Pages 147-175
Back Matter ....Pages 177-181

✦ Subjects

Physics; Theoretical, Mathematical and Computational Physics; Theoretical and Computational Chemistry; Thermodynamics; Mathematical Methods in Physics; Complex Systems