Energy spectra of Deng Fan Potential within the framework of Relativistic KG equation using Extended Nikiforov-Uvarov Approach

Akpan Ndem Ikot ORCID ^{1, 2}
Uduakobong Sunday Okorie ORCID ³
Precious Ogbonda Amadi ORCID ⁴
Panumart Sawangtong * Email ORCID ^{5, 2}

Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria
Research group for fractional calculus theory and applications, Science and Technology Research Institute, King Mongkutâs University of Technology North Bangkok, Bangkok, Thailand
Department of Physics, Akwa Ibom State University, Ikot Akpaden, Uyo, Nigeria
Department of Physics, Ignatius Ajuru University of Education, Rumuoluemini, Rivers State, Nigeria
Department of Mathematics, Faculty of Applied Science, King Mongkut University of Technology, North Bangkok, Bangkok, Thailand

Abstract

In this paper, we study the quantum dynamic of the Klein-Gordon particles/antiparticles with generalized Deng-Fan potential. We determine the energy spectra and the corresponding wave function expressed in terms of confluent Heun function using the extended Nikiforov Uvarov method. The influence of the potential parameters on the energy spectra is discussed in details.