Statistical Mechanics: Rigorous Results |
Contents
Thermodynamic Behavior Ensembles | 1 |
Low Density Expansions and Correlation Functions | 71 |
The Problem of Phase Transitions | 108 |
Copyright | |
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A₁ A₂ Abelian assume B*-algebra B₁ Banach space Chapter classical lattice systems compact concludes the proof condition configurations continuous function convergence convex correlation functions corresponding defined density matrices dx₁ E₁ entropy equations equilibrium ergodic exists finite range Fisher Friedrichs extension G-Abelian G-invariant grand canonical ensemble hard core Hilbert space identity implies inequality infinite system infinity integral invariant isomorphism L²(A lattice gas Lebesgue measurable linear matrix n₁ Neumann algebra norm notation obtain p₁ pair interaction pair potential particles partition function phase transition Proposition prove quantum lattice systems quantum systems representation restriction Ruelle satisfied Section self-adjoint operator spin system statistical mechanics subspace temperedness Theorem thermodynamic functions thermodynamic limit unique von Neumann algebra write x₁ yields zero Σ Σ