Exact solution of the Schrodinger and Klein-Gordon equations for generalised Hulthen potentials

DOI10.1088/0305-4470/14/2/015zbMath0462.35076OpenAlexW2081719442MaRDI QIDQ3913189

Miloslav Znojil

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1088/0305-4470/14/2/015

zbMATH Keywords

exact solutionGauss hypergeometric functionBessel functionbinding energiesKlein-Gordon equationsconfluent formsAppel's functionsHulthen potentialsKumar-type formulasnon- relativistic Schrödinger equations-wave Schrödinger equation

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Solution of effective-mass Dirac equation with scalar-vector and pseudoscalar terms for generalized Hulthén potential ⋮ Bound state solution of the Klein–Fock–Gordon equation with the Hulthén plus a ring-shaped-like potential within SUSY quantum mechanics ⋮ Analytical bound state solutions of the Klein-Fock-Gordon equation for the sum of Hulthén and Yukawa potential within SUSY quantum mechanics ⋮ Bound-state solutions of the Klein-Gordon equation for the generalized \(PT\)-symmetric hulthén potential ⋮ Arbitrary \(\ell\)-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a class of Yukawa potentials ⋮ Minimal relativity and Hulthén potentials ⋮ Bound states of the Dirac equation for the \(PT\)-symmetric generalized Hulthén potential by the Nikiforov-Uvarov method ⋮ Approximate bound state solutions of the Klein-Gordon equation with the linear combination of Hulthén and Yukawa potentials ⋮ Exact bound state solutions of the \(s\)-wave Klein-Gordon equation with the generalized Hulthén potential ⋮ Analytical solution of the Klein-Fock-Gordon equation for the Rosen-Morse potential

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