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Perturbation of Statistical Semigroups in Quantum Statistical Mechanics

Authors :
D. A. Uhlenbrock
Source :
Journal of Mathematical Physics. 12:2503-2512
Publication Year :
1971
Publisher :
AIP Publishing, 1971.

Abstract

The perturbation theory of Hille and Phillips for semigroups of bounded linear operators on a Banach space is modified to apply to the semigroups of positive traceclass operators encountered in quantum statistical mechanics.

Subjects

Subjects :
Unbounded operator
Pure mathematics
Mathematics::Operator Algebras
Approximation property
Mathematical analysis
Statistical and Nonlinear Physics
Finite-rank operator
Operator space
Operator algebra
Bounded function
C0-semigroup
Quantum statistical mechanics
Mathematical Physics
Mathematics

Details

ISSN :
10897658 and 00222488
Volume :
12
Database :
OpenAIRE
Journal :
Journal of Mathematical Physics
Accession number :
edsair.doi...........f03cc6237e952224c76f25d732728a47

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Authors Abstract Subjects Details