The cluster expansion in statistical mechanics
نویسندگان
چکیده
منابع مشابه
The Cluster Expansion in Statistical Mechanics*
The Glimm-Jaffe-Spencer cluster expansion from constructive quantum field theory is adapted to treat quantum statistical mechanical systems of particles interacting by finite range potentials. The Hamiltonian H 0 + Vneed be stable in the extended sense that Ho +4V+BN>O for some B. In this situation, with a mild technical condition on the potentials, the cluster expansion converges and the infin...
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CLUSTER EXPANSION WITH APPLICATIONS 3 Assumption 2. There exists a nonnegative function a on X such that for almost all x ∈ X, ∫ d|μ|(y) |ζ(x, y)| e 6 a(x). In order to guess the correct form of a, one should consider the left side of the equation above with a(y) ≡ 0. The integral may depend on x; a typical situation is that x is characterized by a length l(x), which is a positive number, so th...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1976
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01608729