文档介绍：Lecture Notes in
Mathematics
Edited by A. Dold and B. Eckmann
1148
Mark A. Kon
probability Distributions
in Quantum
Statistical Mechanics
III III IIII
Springer-Verlag
Author
Mark A. Kon
Department of Mathematics, Boston University
111 Cummington Street
Boston, MA 02215, USA
Mathematics Subject Classification (1980): 82A 15, 60E07, 60G60, 46L60
ISBN 3-540-15690-9 Springer-Vertag Berlin Heidelberg New York Tokyo
ISBN 0-38?-15690-9 Springer-Verlag New York Heidelberg Berlin Tokyo
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PREFACE
The purpose of this work is twofold: to provide a rigorous mathematical foundation
for study of the probability distributions of observables in quantum statistical mechanics,
and to apply the theory to examples of physical interest. Although the work will primarily
interest mathematicians and mathematical physicists, I believe that results of purely physical
interest (and at least one rather surprising result) are here as well. Indeed, some (§)
have been applied (see [JKS]) to study a model of the effect of angular momentum on the
frequency distribution of the cosmic background radiation. It is somewhat incongruous that
in the half century since the development of quantum ~tatistics, the questions of probability
distributions in so probabilistic a theory have been addressed so seldom. Credit is due to
the Soviet mathematician . Khinchin, whose Mat