On the arbitrary l-wave solutions of the deformed hyperbolic manning-rosen potential including an improved approximation to the orbital centrifugal term
Autor: | Min-Cang Zhang, Chun-Long Xu |
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Rok vydání: | 2017 |
Předmět: |
Physics
Polynomial General Physics and Astronomy Deformation (meteorology) 01 natural sciences 010305 fluids & plasmas Term (time) Schrödinger equation symbols.namesake Classical mechanics Scheme (mathematics) 0103 physical sciences Bound state symbols Hypergeometric function 010306 general physics Wave function Mathematical physics |
Zdroj: | Journal of the Korean Physical Society. 70:129-133 |
ISSN: | 1976-8524 0374-4884 |
DOI: | 10.3938/jkps.70.129 |
Popis: | The arbitrary l-wave solutions to the Schrodinger equation for the deformed hyperbolic Manning-Rosen potential is investigated analytically by using the Nikiforov-Uvarov method, the centrifugal term is treated with an improved Greene and Aldrich’s approximation scheme. The wavefunctions depend on the deformation parameter q, which is expressed in terms of the Jocobi polynomial or the hypergeometric function. The bound state energy is obtained, and the discrete spectrum is shown to be independent of the deformation parameter q. |
Databáze: | OpenAIRE |
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