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

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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.

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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

How to Cite

Haouam, I. (2020). ANALYTICAL SOLUTION OF (2+1) DIMENSIONAL DIRAC EQUATION IN TIME-DEPENDENT NONCOMMUTATIVE PHASE-SPACE. Acta Polytechnica, 60(2), 111–121. https://doi.org/10.14311/AP.2020.60.0111

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Articles