Effects of Yukawa confining potential on Klein-Gordon oscillator

Abstract

In this paper, we study the quantum dynamics of relativistic Klein-Gordon oscillator with Yukawa confining potential. We obtain approximate bound state energy spectrum and the corresponding wave function expressed in terms of biconfluent Hun function using the extended Nikiforov-Uvarov method. The effects of the screening parameter on the energy spectrum of the Klein-Gordon oscillator are discussed in details.