Abstract
The bound-state solutions of the Schrödinger equation for an exponential-type potential with the centrifugal term are presented approximately. It is shown that the complicated normalization wavefunctions can be expressed by the generalized hypergeometric functions 2F 1 (a, b; c; z). To show the accuracy of our results, we calculate the energy eigenvalues numerically for arbitrary quantum numbers n and l with two different values of the parameter α. It is found that the results are in good agreement with those obtained by another method for short-range potential. Two special cases for s-wave case (l = 0) and α = 1 are also studied briefly.
Original language | English |
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Pages (from-to) | 393-396 |
Number of pages | 4 |
Journal | Physica Scripta |
Volume | 76 |
Issue number | 4 |
DOIs | |
State | Published - 2007 |