On the continuous extension of states on the CCR algebra

DOI10.1023/A:1007370323608zbMath0906.47032OpenAlexW124165389MaRDI QIDQ1381921

Reinhard Honegger

Publication date: 1 April 1998

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

Full work available at URL: https://doi.org/10.1023/a:1007370323608

zbMATH Keywords

representationsquantum chemistrysolid state physicsquantum opticssqueezing\(C^*\) algebraBogoliubov transformations\(\tau\)-continuous statesextended CCR algebrafoliaone-boson test-function space

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of operator algebras to the sciences (47L90) Quantum optics (81V80) Applications of functional analysis in statistical physics (46N55)

Related Items (6)

The classical limit of a state on the Weyl algebra ⋮ Construction and uniqueness of the C*-Weyl algebra over a general pre-symplectic space ⋮ Classical limits of unbounded quantities by strict quantization ⋮ Continuity and generators of dynamical semigroups for infinite Bose systems ⋮ Unitary implementations of one-parameter squeezing groups ⋮ Enlarged test-function spaces for the global free folia dynamics on the CCR-algebra

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