The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential

We solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (GAMAR) type potential containing the different types of physical potential that have many application fields in the nonrelativistic quantum mechanics and obtain the solutions in terms of the Gauss hyp...

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Bibliographic Details
Published in:Advances in high energy physics 2014-01, Vol.2014 (2014), p.1-10
Main Authors: Taş, Ahmet, Havare, Ali, Alpdoğan, Soner
Format: Article
Language:English
Subjects:
Atoms & subatomic particles
Behavior
Quantum physics
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Summary:We solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (GAMAR) type potential containing the different types of physical potential that have many application fields in the nonrelativistic quantum mechanics and obtain the solutions in terms of the Gauss hypergeometric functions. Then we determine the solutions for scattering and bound states. By using these states we calculate the reflection and transmission coefficients for scattering states and achieve a correlation that gives the energy eigenvalues for the bound states. In addition to these, we show how the transmission and reflection coefficients depend on the parameters which describe shape of the GAMAR type potential and compare our results with the results obtained in earlier studies.
ISSN:1687-7357
1687-7365
DOI:10.1155/2014/619241