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Mathematical Foundations of Quantum Statistical Mechanics - Continuous Systems (Paperback, Softcover reprint of the original 1st ed. 1995)
Loot Price: R2,984
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Mathematical Foundations of Quantum Statistical Mechanics - Continuous Systems (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: Mathematical Physics Studies, 17
Expected to ship within 10 - 15 working days
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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.
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