From Bargmann representations to deformed harmonic oscillator algebras

DOI10.1016/S0034-4877(99)80022-6zbMath0933.46074OpenAlexW2042879671MaRDI QIDQ1305704

Guy Rideau, Michèle Irac-Astaud

Publication date: 29 March 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(99)80022-6

zbMATH Keywords

multiplication operatorcreation operatorannihilation operatorBargmann representationBargmann-Hilbert spacedeformed harmonic oscillator algebras

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (1)

On chaoticity of the sum of chaotic shifts with their adjoints in Hilbert space and applications to some weighted shifts acting on some Fock-Bargmann spaces

Cites Work

• On a Hilbert space of analytic functions and an associated integral transform part I
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