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Mathematical Physics Studies

Mathematical Foundations of Quantum Statistical Mechanics

Continuous Systems

Authors: Petrina, D.Y.

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About this book

This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book "Mathematical Foundations of Classical Statistical Mechanics. Continuous Systems" (Gordon & Breach SP, 1989) written together with my colleagues V. I. Gerasimenko and P. V. Malyshev. Taken together, these books give a complete pre­ sentation of the statistical mechanics of continuous systems, both quantum and classical, from the common point of view. Both books have similar contents. They deal with the investigation of states of in­ finite systems, which are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions in the quantum case and by infinite sequences of distribution functions in the classical case. The equations of state and their solutions are the main object of investigation in these books. For infinite systems, the solutions of the equations of state are constructed by using the thermodynamic limit procedure, accord­ ing to which we first find a solution for a system of finitely many particles and then let the number of particles and the volume of a region tend to infinity keeping the density of particles constant. However, the style of presentation in these books is quite different.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-94-011-0185-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
Softcover $139.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Foundations of Quantum Statistical Mechanics
Book Subtitle
Continuous Systems
Authors
Series Title
Mathematical Physics Studies
Series Volume
17
Copyright
1995
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-0185-1
DOI
10.1007/978-94-011-0185-1
Hardcover ISBN
978-0-7923-3258-9
Softcover ISBN
978-94-010-4083-9
Series ISSN
0921-3767
Edition Number
1
Number of Pages
XVI, 445
Topics