Polynomial solutions of the Mie-type potential in the D-dimensional Schrodinger equation

Date

2008-04-30

Author

IKHDAİR, SAMEER
Sever, Ramazan

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The polynomial solution of the D-dimensional Schrodinger equation for a special case of Mie potential is obtained with an arbitrary l not equal 0 states. The exact bound state energies and their corresponding wave functions are calculated. The bound state (real) and positive (imaginary) cases are also investigated. In addition, we have simply obtained the results from the solution of the Coulomb potential by an appropriate transformation.

Subject Keywords

Diatomic molecules, Bound states, Schrodinger equation, Coulomb potential, Mie potential

URI

https://hdl.handle.net/11511/62664

Journal

JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM

DOI

https://doi.org/10.1016/j.theochem.2007.12.044

Collections

Department of Physics, Article

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EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC-KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH Arda, Altug; Sever, Ramazan (2012-09-28) Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different p...

Citation Formats

S. IKHDAİR and R. Sever, “Polynomial solutions of the Mie-type potential in the D-dimensional Schrodinger equation,” JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, pp. 13–17, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62664.