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J. J. Peña, J. Morales, J. García-Martínez and J. García-Ravelo Unified treatment of exactly solvable quantum potentials with confluent hypergeometric eigenfunctions: Generalized potentials International Journal of Quantum Chemistry 112

Version of Record online: 22 JUN 2012 | DOI: 10.1002/qua.24238

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A canonical transform to convert a general differential equation into Schrödinger-like equation is applied in the unified treatment of potentials having confluent hypergeometric wavefunctions. The results are generalized potentials of Harmonic, Morse, and Coulomb-type that reduce to well-known potentials, as particular cases. The approach is general and can be extended to other kind of differential equations with the aim to obtain generalized potentials accepting different special functions solutions.

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