Analytical approximations to the Schrödinger equation for a second Pöschl-Teller-like potential with centrifugal term

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Resumen

The bound state solutions of the Schrödinger equation for a second Pöschl-Teller-like potential with the centrifugal term are obtained approximately. It is found that the solutions can be expressed in terms of the hypergeometric functions 2F1(a, b; c; z). To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers n and l. It is found that the results are in good agreement with those obtained by other method for short-range potential. Two special cases for l = 0 and V1 = V2 are also studied briefly.

Idioma originalInglés
Páginas (desde-hasta)1537-1544
Número de páginas8
PublicaciónInternational Journal of Modern Physics A
Volumen23
N.º10
DOI
EstadoPublicada - 20 abr. 2008

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