Artículos de revistas
From the generalized Morse potential to a unified treatment of the D-dimensional singular harmonic oscillator and singular Coulomb potentials
Fecha
2016-10-01Registro en:
Journal Of Mathematical Chemistry. New York: Springer, v. 54, n. 9, p. 1783-1791, 2016.
0259-9791
10.1007/s10910-016-0635-6
WOS:000382867100004
WOS000382867100004.pdf
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.