Research Article Orthogonal polynomials attached to coherent states for the symmetric Pöschl–Teller oscillator

DOI10.1080/10652469.2016.1210143zbMath1356.81153arXiv1601.00322OpenAlexW2475672835MaRDI QIDQ5506800

P. K. Kikodio, Zouhaïr Mouayn, Khalid Ahbli

Publication date: 16 December 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00322

zbMATH Keywords

orthogonal polynomialsCoherent statesPöschl-Teller oscillatorBargmann-type transform

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Coherent states (81R30)

Related Items (2)

A new generalization of nonlinear coherent states for the pseudoharmonic oscillator ⋮ A generating function and formulae defining the first-associated Meixner–Pollaczek polynomials

Cites Work

• Generalized hypergeometric functions with applications in statistics and physical sciences
• New 'coherent' states associated with non-compact groups
• Integrable multi-boson systems and orthogonal polynomials
• Generalized Bargmann functions, their growth and von Neumann lattices
• Construction of the Barut-Girardello type of coherent states for Pöschl-Teller potential
• Orthogonal polynomials and generalized oscillator algebras
• Realization of the Annihilation Operator for an Oscillator-Like System by a Differential Operator and Hermite-Chihara Polynomials
• Central factorials under the Kontorovich–Lebedev transform of polynomials
• Some orthogonal polynomials arising from coherent states

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