Analytical Solutions of the D-dimensional Klein-Gordon equation with q-deformed modified P¨oschl-Teller Potential

Authors

Bijon Biswas Department of Mathematics, Vivekananda College, Kolkata-700063, India https://orcid.org/0000-0002-5333-3314

https://doi.org/10.61383/ejam.20242156

Keywords:

q-deformed modified P¨oschl-Teller potential, Greene-Aldrich approxi15 mation, Nikiforov-Uvarov (N-U) method

Abstract

In this article, the D-dimensional Klein-Gordon equation within the framework of Greene-Aldrich approximations scheme for q-deformed modified P¨oschl-Teller Potential is solved for s-wave and arbitrary angular momenta. The energy eigenvalues and corresponding wave functions are obtained in an exact analytical manner via the Nikiforov-Uvarov (N-U) method. Further, it is shown that in the non-relativistic limit, the energy eigenvalues reduce to that of Schrodinger equations for the potential. It is also shown that, the obtained results lead to the solutions of the same problem for modified P¨oschl-Teller potential for \(q = 1\).

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Published

2024 Mar 22

How to Cite

[1]

B. Biswas, “Analytical Solutions of the D-dimensional Klein-Gordon equation with q-deformed modified P¨oschl-Teller Potential”, Electron. J. Appl. Math., vol. 2, no. 1, pp. 14–21, Mar. 2024.