ANALYTICAL SOLUTION OF THE KLEIN-FOCK-GORDON EQUATION FOR THE LINEAR COMBINATION OF THE HULTHÉN AND THE CLASS OF YUKAWA POTENTIALS
М.V. Gojayeva
2024   C   az   p.37-44

ABSTRACT

In this study, the bound state's solution of the modified Klein-Fock-Gordon equation is found for the new supposed combined Hultén potential and the Yukawa class potentials. The analytical expressions of the energy eigenvalue and the corresponding radial wave functions are obtained for any orbital quantum number. The obtained eigenfunctions are expressed in terms of hypergeometric functions. We applied the developed approximation scheme to overcome the potential's centrifugal part difficulties. It is shown that energy levels and eigenfunctions are sensitive depending on potential parameters.

Keywords: Klein-Fock-Gordon equation, Hulten potential, Yukawa potential, Nikiforov-Uvarov method.
DOI:10.70784/azip.3.2024C37

Received: 2024
Internet publishing: 2024

AUTHORS & AFFILIATIONS

Institute of Physics Ministry of Science and Education Republic of Azerbaijan, 131 H.Javid ave. Baku, AZ-1073
E-mail: mefkureqocayeva@yahoo.com

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