Solution of the Schrödinger equation for two \(q\)-deformed potentials by the SWKB method

DOI10.1007/s10910-009-9588-3zbMath1201.81064OpenAlexW2094031442MaRDI QIDQ848176

Hale Yılmaz, Doğan Demirhan, Fevzi Buyukkilic

Publication date: 2 March 2010

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

Full work available at URL: https://doi.org/10.1007/s10910-009-9588-3

zbMATH Keywords

supersymmetric quantum mechanics\(q\)-deformed potentialsthe lowest order SWKB quantization condition

Mathematics Subject Classification ID

Recurrences (11B37) Supersymmetry and quantum mechanics (81Q60) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (3)

Some analytical solitary wave solutions for the generalized q-deformed sinh-Gordon equation: \(\partial^2 \theta / \partial z \partial \xi = \alpha \left[\sinh_q(\beta \theta^\gamma)\right^p - \delta\)] ⋮ Equivalence of the deformed Rosen-Morse potential energy model and Tietz potential energy model ⋮ Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed sinh-Gordon equation

Cites Work

• Exactly solvable supersymmetric quantum mechanics
• Exact Solutions of the Schrödinger Equation for Two “Deformed” Hyperbolic Molecular Potentials
• Polynomial Solutions of the Schrödinger Equation for the “Deformed” Hyperbolic Potentials by Nikiforov–Uvarov Method

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