Generalized Dirac Oscillators with position-dependent mass

Abstract

We study the $(1+1)$ dimensional generalized Dirac oscillator with a position-dependent mass. In particular, bound states with zero energy as well as non zero energy have been obtained for suitable choices of the mass function/oscillator interaction. It has also been shown that in the presence of an electric field, bound states exist if the magnitude of the electric field does not exceed a critical value.

arXiv comment5 pages, no figures. Typos in Eqs. (5), (34) and (35), and other typos corrected. Presentation Improved

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Cited by in corpus (7)

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• Three-dimensional bound states of cylindrical quantum heterostructures with position-dependent mass carriers
• Effective particles in a multishell nanostructure with hardcore
• Volkov-Pankratov states on the edge of a quantum spin Hall system
• Dirac systems with magnetic field and position dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators