ANALYTICAL APPROXIMATIONS TO THE SCHRÖDINGER EQUATION FOR A SECOND PÖSCHL–TELLER-LIKE POTENTIAL WITH CENTRIFUGAL TERM
2008 ◽
Vol 23
(10)
◽
pp. 1537-1544
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Keyword(s):
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.
2008 ◽
Vol 22
(07)
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pp. 483-489
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2013 ◽
Vol 91
(1)
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pp. 98-104
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2020 ◽
Vol 66
(6 Nov-Dec)
◽
pp. 730
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2009 ◽
Vol 23
(18)
◽
pp. 2269-2279
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2016 ◽
Vol 25
(01)
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pp. 1650002
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