https://doi.org/10.1140/epjp/i2013-13014-4
Regular Article
Klein-Gordon equation with Hulth'en potential and position-dependent mass
Department of physics, Shahrood University of Technology, P.O. Box 36155-316, Shahrood, Iran
* e-mail: shojaei_1151@yahoo.com
Received:
19
October
2012
Revised:
5
January
2013
Accepted:
14
January
2013
Published online:
13
February
2013
In this paper the solutions of the s -wave Klein-Gordon (K-G) equation with spatially dependent exponential-type mass for Hulth'en-type vector and scalar potential are calculated by using the Nikiforov-Uvarov (NU) method. Energy eigenvalues and wave functions are obtained also for the constant-mass case. It is seen that the energy eigenvalues strongly depend on the potential parameters. The wave functions of the system are taken in the form of the Laguerre polynomials and the energy spectra of the system are discussed. In the limit of constant mass, the wave functions and energy eigenvalues are in good agreement with the results previously.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013
