Difference Schrödinger equation and \(q\)-oscillator model

DOI10.1007/BF01040399zbMath0853.39009MaRDI QIDQ1920576

Sh. M. Nagiyev

Publication date: 12 August 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum groupsdifference Schrödinger equation\(q\)-harmonic oscillator\(q\)-Hermite-Szegö polynomials

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Discrete version of topics in analysis (39A12) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (2)

Coherent states attached to the quantum disc algebra and their associated polynomials ⋮ \(q\)-classical orthogonal polynomials: A general difference calculus approach

Cites Work

• \(q\)-orthogonal polynomials and the oscillator quantum group
• Quantum deformations of SU(2)
• The covariant linear oscillator and generalized realization of the dynamical SU(1,1) symmetry algebra
• 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
• SU_q(1,1) and the relativistic oscillator
• The Factorization Method
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