The Klein–Gordon equation with equal scalar and vector Bargmann potentials in D dimensions

Results in Physics

A.A. Landolsi¹  A. Dhahbi² 

[1] Department of Physics, College of Science and Arts at ArRass, Qassim University, 51921 ArRass, Saudi Arabia;University of Tunis El Manar, Faculty of Sciences of Tunis, Nuclear Physics and High Energy Physics Research Unit, 2092 Tunis, Tunisia;

关键词: Klein–Gordon equation;    Bargmann potential;    Greene-Aldrich approximation;    Bound states;   

DOI  :  

来源: DOAJ

【 摘 要 】

Using an improved Greene-Aldrich approximation scheme to handle the centrifugal potential, we solve the D-dimensional Klein–Gordon equation with equal scalar and vector Bargmann potentials with a non-zero angular momentum number. The equation giving the bound-state energy eigenvalues as well as the corresponding normalized radial wave functions are obtained. The particular cases of Hultén and Yukawa potentials are also discussed. A lower-bound for the energy levels is obtained and their behaviour with the parameters of the Bargmann potential is analysed.

【 授权许可】

Unknown