loading page

On the deformed Dirac equation for the improved quadratic exponential-type potential plus Eckart potential including the Yukawa-like tensor interaction at the noncommutative framework
  • Maireche Abdelmadjid
Maireche Abdelmadjid
University of M'sila

Corresponding Author:[email protected]

Author Profile

Abstract

In this manuscript, we present a generalized formulation of the deformed Dirac equation, by considering the effect of a noncommutative space-time on the improved quadratic exponential-type potential plus Eckart potential and Yukawa-like tensor interaction (IQEPEP-YTi, in short). Using the Bopp’s shift method arising from the Weyl-Moyal star product, we obtain modified DDE equations for spin and p-spin symmetries. The new values of energy that we got appeared sensitive to the quantum numbers (j,k,s,l,m,…), the mixed potential depths (a,b,c,A,B), the range of the potential , and noncommutativity parameters . The three physical phenomena that are automatically generated as a result of the topological properties of noncommutativity are the perturbative spin-orbit coupling, the magnetic induction, and the third corresponds to the rotational proper phenomena. We show that the corrections to the spectrum energy are smaller than the main energy in the usual cases of the Dirac equation. The three physical phenomena that are automatically generated as a result of the topological properties of noncommutativity are the perturbative spin-orbit coupling, the magnetic induction, and the third corresponds to the rotational proper phenomena. We show that the corrections to the spectrum energy are smaller than the main energy in the usual cases of quantum field theory. In the new symmetries of extended relativistic quantum mechanics ERQM, it is not possible to get the exact analytical solutions for k=0 and, only the approximate solutions are available. Some special cases of our solution are investigated by choosing appropriate parameters in the IQEPEP-YTi model.