Dirac oscillators in presence of external magnetic field

A.‐S. F. Obada, M. M. A. Ahmed, Mohamed Abu-Shady +1 more

G. V. Grigoryan, R. P. Grigoryan, E. Yankovsky

Majid Hamzavi, Sameer M. Ikhdair, B. J. Falaye

Sepideh Sargolzaeipor, HASSAN HASSANABADI, Won Sang Chung

In this article, we introduce a two-dimensional Dirac oscillator in the presence of an external magnetic field in terms of q-deformed creation and annihilation operators in the framework of relativistic quantum mechanics with minimal length. We discuss the eigenvalues of q-deformed Dirac oscillator in two dimensions and report the statistical quantities of the system for a small real q.

HASSAN HASSANABADI, S. Zarrinkamar, E. Maghsoodi

We consider the Dirac equation with a generalized uncertainty principle in the presence of the Harmonic interaction and an external magnetic field. By doing the study in the momentum space, the problem solved in an exact analytical manner and the eigenfucntions reported in terms of the hypergeometric functions.

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