Bargmann representation for \(q\)-deformed oscillator

DOI10.1016/0034-4877(96)88952-XzbMath0889.17017OpenAlexW2032973805MaRDI QIDQ1373553

Jan Milewski

Publication date: 25 June 1998

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

Full work available at URL: https://doi.org/10.1016/0034-4877(96)88952-x

zbMATH Keywords

operatorkernelBargmann representation\(q\)-deformed Heisenberg algebra\(q\)-deformed harmonic oscillatormultidimensional Hilbert spacenormal symbol

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Cites Work

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• An example of a generalized Brownian motion
• A q deformation of the Gauss distribution

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