Solutions of theq-deformed Schrödinger equation for special potentials

DOI10.1088/1751-8113/40/9/008zbMath1123.81020OpenAlexW2041096835MaRDI QIDQ3427237

Alina Dobrogowska, Anatol Odzijewicz

Publication date: 16 March 2007

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

Full work available at URL: https://doi.org/10.1088/1751-8113/40/9/008

zbMATH Keywords

eigenvalue problembasic hypergeometric seriesLaguerre operators\(q\)-deformed Schrödinger operatoreigenfunctions of Jacobi

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13)

Related Items (9)

Factorization method applied to the second order difference equations ⋮ A method of successive approximations for solving the quasi-variational Signorini inequality ⋮ Factorization method applied to the second order \(q\)-difference operators ⋮ Basic-deformed quantum mechanics ⋮ Factorization method on time scales ⋮ The factorization of the (q,h)-difference operators ⋮ New classes of second order difference equations solvable by factorization method ⋮ Trends in Supersymmetric Quantum Mechanics ⋮ The \(q\)-deformation of the Morse potential

This page was built for publication: Solutions of theq-deformed Schrödinger equation for special potentials