Characterization of states of infinite boson systems. II: On the existence of the conditional reduced density matrix

DOI10.1007/BF02100273zbMath0723.60053MaRDI QIDQ756852

Wolfgang Freudenberg

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

conditional distribution of the position distribution of the stateconditional states of a locally normal stateexistence and uniqueness of the conditional reduced density matrix

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum field theory; related classical field theories (81T99) Perturbation theories for operators and differential equations in quantum theory (81Q15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Stochastic quantization (81S20)

Related Items (7)

A characterization of Gibbs states of lattice boson systems ⋮ A canonical ensemble approach to the fermion/boson random point processes and its applications ⋮ Mean-field interacting boson random point fields in weak harmonic traps ⋮ Large deviation principle for noninteracting boson random point processes ⋮ Uniqueness and clustering properties of Gibbs states for classical and quantum unbounded spin systems. ⋮ Time Evolution and Invariance of Boson Systems Given by Beam Splittings ⋮ On exchange mechanisms for bosons

Cites Work

• Characterization of states of infinite boson systems. I: On the construction of states of boson systems
• Point processes and the position distribution of infinite boson systems
• A Condition Σcλ for Point Processes
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