Abstract

In this paper, we present an exact solution of the Dirac oscillator problem in one dimension in the co ntext of the generalized uncertainty principle (GUP). The solution method pr esented here depends on the knowledge of the energy eigenvalues of the quantum harmonic oscillator with GUP. The crucial property of harmonic oscillator that the kinetic energy and the potential energy part of the Hamiltonian are of equal weight is used to obtain e xact energy spectrum. Our result coincides with the results found in the literature. However, the solution procedure is completely diffe rent from others, very handy and alternative one. M oreover, we also remark the super symmetry aspects of the system.

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