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Advanced Statistical Mechanics$
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Barry M McCoy

Print publication date: 2009

Print ISBN-13: 9780199556632

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199556632.001.0001

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Stability, existence and uniqueness

Stability, existence and uniqueness

Chapter:
(p.45) 3 Stability, existence and uniqueness
Source:
Advanced Statistical Mechanics
Author(s):

Barry M. McCoy

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199556632.003.0003

This chapter develops the stability theory needed for the existence of the classical partition. This is extended to quantum stability with emphasis on the physically important case of nonrelativistic quantum mechanics with Coulomb interactions. The existence and uniqueness of the thermodynamic limit is discussed in detail. Open questions are presented.

Keywords:   stability theory, thermodynamic limit, Coulomb interactions, quantum stability

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