Publicação: From the generalized Morse potential to a unified treatment of the D-dimensional singular harmonic oscillator and singular Coulomb potentials
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Data
2016-10-01
Orientador
Coorientador
Pós-graduação
Curso de graduação
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Editor
Springer
Tipo
Artigo
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Acesso aberto
Resumo
Bound-state solutions of the singular harmonic oscillator and singular Coulomb potentials in arbitrary dimensions are generated in a simple way from the solutions of the one-dimensional generalized Morse potential. The nonsingular harmonic oscillator and nonsingular Coulomb potentials in arbitrary dimensions with their additional accidental degeneracies are obtained as particular cases. Added bonuses from these mappings are the straightforward determination of the critical attractive singular potential, the proper boundary condition on the radial eigenfunction at the origin and the inexistence of bound states in a pure inversely quadratic potential.
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Inglês
Como citar
Journal Of Mathematical Chemistry. New York: Springer, v. 54, n. 9, p. 1783-1791, 2016.
