EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC-KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH

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2012-09-28

Author

Arda, Altug
Sever, Ramazan

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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 parameter values.

Subject Keywords

Exact solution, Analytical solution, Laplace transform, Kratzer potential, Dirac equation, Bound states

URI

https://hdl.handle.net/11511/62622

Journal

MODERN PHYSICS LETTERS A

DOI

https://doi.org/10.1142/s0217732312501714

Collections

Department of Physics, Article

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Citation Formats

A. Arda and R. Sever, “EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC-KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH,” MODERN PHYSICS LETTERS A, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62622.