Analytical solutions of position-dependent mass Klein-Gordon equation for unequal scalar and vector Yukawa potentials

作者：Wang Z; Long Z W^*; Long C Y; Wang L Z

来源：Indian Journal of Physics and Proceedings of the Indian Association for the Cultivation of Science, 2015, 89(10): 1059-1064.

DOI：10.1007/s12648-015-0677-9

• Klein-Gordon equation
• Unequal scalar and vector Yukawa potentials
• NU method
• Position-dependent mass

Analytical solutions of the position-dependent mass Klein-Gordon equation in the presence of unequal scalar and vector Yukawa potentials for arbitrary l-state are obtained by using the generalized parametric Nikiforov-Uvarov method. With an approximation scheme to deal with the centrifugal term, we get the bound state energy eigenvalues and the corresponding wave functions, expressed in terms of the Jacobi polynomials. Subsequently, we consider a special case for alpha = 0 and explicitly obtain the energy eigenvalues as well as the corresponding eigenfunctions in terms of the Laguerre polynomials. Some results are also compared with the previous studies.

• 出版日期2015-10
• 单位贵州大学