Solution of the Dirac equation with the ring-shaped oscillator potential

M. Hamzavi, ALI AKBAR RAJABI

Cheng, Yan-fu, Dai +1 more

Metin Aktaş, R. Sever

Min‐Cang Zhang, Guo-Hua Sun, Shi‐Hai Dong

Zahra Bakhshi

The importance of the energy spectrum of bound states and their restrictions in quantum mechanics due to the different methods have been used for calculating and determining the limit of them. Comparison of Schrödinger-like equation obtained by Dirac equation with the nonrelativistic solvable models is the most efficient method. By this technique, the exact relativistic solutions of Dirac equation for Hartmann and Ring-Shaped Oscillator Potentials are accessible, when the scalar potential is equal to the vector potential. Using solvable nonrelativistic quantum mechanics systems as a basic model and considering the physical conditions provide the changes in the restrictions of relativistic parameters based on the nonrelativistic definitions of parameters.

Sahar Arbabi Moghadam, M. Eshghi, Hossein Mehraban

In this work, exact solutions of the Dirac equation are studied for the pseudo-harmonic oscillatory ring-shaped potential by using the supersymmetry method. The un-normalized eigenfunctions and the eigenvalue equation of the Dirac equation are presented. Some numerical results are given. We also discuss the special cases of this potential. In addition, valence energy states can be produced from our solution for the whole state by taking the appropriate transformation of parameters.