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Advances in High Energy Physics
Volume 2016 (2016), Article ID 7910341, 12 pages
Research Article

Relativistic Energy Analysis of Five-Dimensional q-Deformed Radial Rosen-Morse Potential Combined with q-Deformed Trigonometric Scarf Noncentral Potential Using Asymptotic Iteration Method

1Physics Department, Graduate Program, Sebelas Maret University, Jl. Ir. Sutami 36A Kentingan, Surakarta 57126, Indonesia
2Physics Department, Faculty of Mathematics and Fundamental Science, Sebelas Maret University, Jl. Ir. Sutami 36A Kentingan, Surakarta 57126, Indonesia

Received 28 March 2016; Revised 20 July 2016; Accepted 31 July 2016

Academic Editor: Edward Sarkisyan-Grinbaum

Copyright © 2016 Subur Pramono et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We study the exact solution of Dirac equation in the hyperspherical coordinate under influence of separable -deformed quantum potentials. The -deformed hyperbolic Rosen-Morse potential is perturbed by -deformed noncentral trigonometric Scarf potentials, where all of them can be solved by using Asymptotic Iteration Method (AIM). This work is limited to spin symmetry case. The relativistic energy equation and orbital quantum number equation have been obtained using Asymptotic Iteration Method. The upper radial wave function equations and angular wave function equations are also obtained by using this method. The relativistic energy levels are numerically calculated using Matlab, and the increase of radial quantum number causes the increase of bound state relativistic energy level in both dimensions and . The bound state relativistic energy level decreases with increasing of both deformation parameter and orbital quantum number .