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An Introduction to Statistical Mechanics and Thermodynamics$
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Robert H. Swendsen

Print publication date: 2012

Print ISBN-13: 9780199646944

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199646944.001.0001

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Ideal Quantum Gases

Ideal Quantum Gases

Chapter:
(p.308) 26 Ideal Quantum Gases
Source:
An Introduction to Statistical Mechanics and Thermodynamics
Author(s):

Robert H. Swendsen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199646944.003.0026

This chapter develops the basic equations that will be used to analyse the Fermi-Dirac and Bose-Einstein gases. The representation of many-particle states in terms of products of single-particle states is presented. The reasons for using the quantum grand canonical ensemble are given, and a general expression for the grand canonical partition function is derived. The essential equations for fermions, bosons, and distinguishable particles are developed, and the basic strategy for using them to solve problems is given.

Keywords:   quantum gases, single-particle states, many-particle states, grand canonical partition function, fermions, bosons, distinguishable particles, Bose-Einstein gases

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