Exact solutions of the (2+1)-dimensional Dirac oscillator under a magnetic field in the presence of a minimal length in the non-commutative phase space

Abstract

We consider a two-dimensional Dirac oscillator in the presence of a magnetic field in non-commutative phase space in the framework of relativistic quantum mechanics with minimal length. The problem in question is identified with a Poschl-Teller potential. The eigenvalues are found, and the corresponding wave functions are calculated in terms of hypergeometric functions.