Abstract
We study the exact solution of Dirac equation in the hyperspherical coordinate under influence of separableq-deformed quantum potentials. Theq-deformed hyperbolic Rosen-Morse potential is perturbed byq-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 equationlD-1have 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 numberncauses the increase of bound state relativistic energy level in both dimensionsD=5andD=3. The bound state relativistic energy level decreases with increasing of both deformation parameterqand orbital quantum numbernl.
Highlights
Dirac equation as relativistic wave equation was formulated by P
M Dirac in 1928; the exact solution of Dirac equation for some quantum potentials plays a fundamental role in relativistic quantum mechanics [1]
In order to investigate nuclear shell model, spin symmetry and pseudospin symmetry solutions of Dirac equations have been an important field of study in nuclear physics
Summary
Dirac equation as relativistic wave equation was formulated by P. Some researchers have studied solution of Dirac equation with quantum potentials with different application and methods. These investigations include Eckart potential and trigonometric Manning-Rosen potential. We use Asymptotic Iteration Method (AIM) to solve the Dirac equation under influence of separable D-dimensional quantum potentials. 2. Dirac Equation with Separable q-Deformed Quantum Potential in the Hyperspherical Coordinates. The separable variable potential used in this study is q-deformed hyperbolic Rosen-Morse potential plus qdeformed noncentral Scarf trigonometric potential in hyperspherical coordinate space. The D-dimensional Dirac equation with q-deformed hyperbolic Rosen-Morse potential plus qdeformed trigonometric Scarf noncentral potentials can be resolved into the form of radial part and angular part equations. The translation of spatial variable in (38) can be used to map the energy and wave function of nondeformed potential toward deformed potential of Scarf potential
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
