On the dimensions of oscillator-like algebras induced by orthogonal polynomials: nonsymmetric case

DOI10.1016/S0034-4877(17)30021-6zbMath1384.81049arXiv1509.01293MaRDI QIDQ1744689

G. Honnouvo, K. Thirulogasanthar

Publication date: 19 April 2018

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

Full work available at URL: https://arxiv.org/abs/1509.01293

zbMATH Keywords

orthogonal polynomialsdeformed oscillator algebrasoscillator-like algebras

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

• Oscillator-like Hamiltonians and squeezing.
• \(q\)-orthogonal polynomials and the oscillator quantum group
• A proposal of new sets of squeezed states
• A class of generalized complex Hermite polynomials
• On the dimensions of oscillator algebras induced by orthogonal polynomials
• The algebra of two dimensional generalized Chebyshev-Koornwinder oscillator
• Non-Selfadjoint Operators in Quantum Physics
• Representations of coherent and squeezed states in af-deformed Fock space
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Unified (q; α, β, γ; ν)-deformation of one-parametricq-deformed oscillator algebras
• Orthogonal polynomials and generalized oscillator algebras
• Hermite and Laguerre \(2D\) polynomials

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