Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions

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Okorie_2019_J._Phys._Commun._3_095015.pdf

Date

2019-09-01

Author

Okorie, Uduakobong S.
Ikot, Akpan N.
Edet, C. O.
Akpan, I. O.
Sever, Ramazan
Rampho, R.

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We solve the D- dimensional Klein-Gordon equation with a newly proposed generalized hyperbolic potential model, under the condition of equal scalar and vector potentials. The relativistic bound state energy equation has been obtained via the functional analysis method. We obtained the relativistic and non-relativistic ro-vibrational energy spectra for different diatomic molecules. The numerical results for these diatomic molecules tend to portray inter-dimensional degeneracy symmetry. Variations of the energy eigenvalues obtained with the potential parameters have been demonstrated graphically. Our studies will find relevant applications in the areas of chemical physics and high-energy physics.

Subject Keywords

Klein-Gordon equation , Functional analysis method, Generalized hyperbolic potential

URI

https://hdl.handle.net/11511/62998

Journal

JOURNAL OF PHYSICS COMMUNICATIONS

DOI

https://doi.org/10.1088/2399-6528/ab42c6

Collections

Department of Physics, Article

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Citation Formats

U. S. Okorie, A. N. Ikot, C. O. Edet, I. O. Akpan, R. Sever, and R. Rampho, “Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions,” JOURNAL OF PHYSICS COMMUNICATIONS, pp. 0–0, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62998.