DEFORMED HARMONIC OSCILLATOR ALGEBRAS DEFINED BY THEIR BARGMANN REPRESENTATIONS

DOI10.1142/S0129055X99000222zbMath0962.81030arXivq-alg/9712043MaRDI QIDQ4519809

Michèle Irac-Astaud, Guy Rideau

Publication date: 4 December 2000

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

Full work available at URL: https://arxiv.org/abs/q-alg/9712043

zbMATH Keywords

Bargmann representationdeformed harmonic oscillator algebrasBargmann Hilbert space

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (2)

Linear chaotic systems in generalized Fock-Bargmann spaces ⋮ Newton-equivalent Hamiltonians for the harmonic oscillator

Cites Work

• Representations of generalized oscillator algebra
• Deformed harmonic oscillators: coherent states and Bargmann representations
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• A completeness relation for the q-analogue coherent states by q-integration
• Bargmann Representations for Deformed Harmonic Oscillators

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