ANALYTICAL SOLUTION OF (2+1) DIMENSIONAL DIRAC EQUATION IN TIME-DEPENDENT NONCOMMUTATIVE PHASE-SPACE

Authors

DOI:

https://doi.org/10.14311/AP.2020.60.0111

Keywords:

Lewis-Riesenfeld invariant method, time-dependent Bopp-Shift translation, Bopp’s Shift, time-dependent Dirac equation, time-dependent noncommutative phase-space

Abstract

In this article, we studied the system of a (2+1) dimensional Dirac equation in a time-dependent noncommutative phase-space. More specifically, we investigated the analytical solution of the corresponding system by the Lewis-Riesenfeld invariant method based on the construction of the Lewis-Riesenfeld invariant. Knowing that we obtained the time-dependent Dirac Hamiltonian of the problem in question from a time-dependent Bopp-Shift translation, then used it to set the Lewis- Riesenfeld invariant operators. Thereafter, the obtained results were used to express the eigenfunctions that lead to determining the general solution of the system.

Author Biography

Ilyas Haouam, Laboratoire de Physique Mathématique et de Physique Subatomique (LPMPS), Université Frères Mentouri, Constantine 25000, Algeria

Département de physique

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Published

2020-04-30

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Articles