Wilson-Racah quantum system

DOI10.1063/1.4975138zbMath1357.81156arXiv1608.01162OpenAlexW3102935674MaRDI QIDQ2968427

A. D. Alhaidari, T. J. Taiwo

Publication date: 13 March 2017

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

Full work available at URL: https://arxiv.org/abs/1608.01162

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (14)

Solution of Spin and Pseudo-Spin Symmetric Dirac Equation in (1+1) Space-Time Using Tridiagonal Representation Approach ⋮ Series solutions of Heun-type equation in terms of orthogonal polynomials ⋮ Series solutions of Laguerre- and Jacobi-type differential equations in terms of orthogonal polynomials and physical applications ⋮ Solution of the nonrelativistic wave equation using the tridiagonal representation approach ⋮ Quantum systems associated with the Hahn and continuous Hahn polynomials ⋮ Open problem in orthogonal polynomials ⋮ Reconstructing the Potential Function in a Formulation of Quantum Mechanics Based on Orthogonal Polynomials ⋮ Exact scattering and bound states solutions for novel hyperbolic potentials with inverse square singularity ⋮ Bound states of an inverse-cube singular potential: A candidate for electron-quadrupole binding ⋮ Potential function of the Wilson-Racah quantum system ⋮ Solving Schrödinger equation by mapping it into a Heun-type equation with known solutions ⋮ Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters ⋮ Confined systems with a linear energy spectrum ⋮ Orthogonal polynomials derived from the tridiagonal representation approach

Cites Work

• Asymptotics for the \({}_ 4F_ 3\) polynomials
• Scattering Theory and Polynomials Orthogonal on the Real Line
• A Relation between the Coefficients in the Recurrence Formula and the Spectral Function for Orthogonal Polynomials
• Orthogonal polynomials from the viewpoint of scattering theory
• Quantum mechanics without potential function
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