The \(q\)-deformation of the Morse potential

DOI10.1016/j.aml.2013.02.009zbMath1311.39011OpenAlexW2087480321MaRDI QIDQ2339032

Alina Dobrogowska

Publication date: 30 March 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2013.02.009

zbMATH Keywords

\(q\)-difference equationsfactorization\(q\)-Morse potential

Mathematics Subject Classification ID

Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Related Items (6)

On a nonlinear fractional \((p, q)\)-difference Schrödinger equation ⋮ Complexity study of \(q\)-deformed quantum harmonic oscillator ⋮ Factorization method applied to the second order difference equations ⋮ Existence of positive solutions of nonlinear fractional \(q\)-difference equation with parameter ⋮ Multiple positive solutions for nonlinear fractional qq-difference equation with pp-Laplacian operator ⋮ Boundary value problems for fractional \(q\)-difference equations with nonlocal conditions

Cites Work

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• The finite difference algorithm for higher order supersymmetry
• Factorization method for second order functional equations
• Second order \(q\)-difference equations solvable by factorization method
• Lie theory and special functions
• Solutions of theq-deformed Schrödinger equation for special potentials
• On suq(1,1)-models of quantum oscillator
• A simple difference realization of the Heisenberg q-algebra
• Lie Theory and q-Difference Equations
• The Factorization Method

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