On the dimensions of oscillator algebras induced by orthogonal polynomials

DOI10.1063/1.4896324zbMath1297.81067arXiv1305.2509OpenAlexW2043905827MaRDI QIDQ2924915

G. Honnouvo, K. Thirulogasanthar

Publication date: 20 October 2014

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

Full work available at URL: https://arxiv.org/abs/1305.2509

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (5)

Orthogonal polynomials and deformed oscillators ⋮ The algebra of two dimensional generalized Chebyshev-Koornwinder oscillator ⋮ Local perturbation of the discrete Schrödinger operator and a generalized Chebyshev oscillator ⋮ On the dimensions of oscillator-like algebras induced by orthogonal polynomials: nonsymmetric case ⋮ Invariance of the generalized oscillator under a linear transformation of the related system of orthogonal polynomials

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