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In this paper, we have presented the Dirac equation in the frame of position-dependent mass on two dimensional gravitational background in the presence of PT /non-PT -symmetric potential interactions. We… Click to show full abstract
In this paper, we have presented the Dirac equation in the frame of position-dependent mass on two dimensional gravitational background in the presence of PT /non-PT -symmetric potential interactions. We have obtained the eigenvalues of the Dirac operator for the complex Morse and trigonometric complex Scarf-II potentials SL(2, C) Lie algebras and the supersymmetric quantum mechanics formalism. Moreover, after obtaining a general Dirac operator using a convenient mapping, the system is investigated within η- pseudo-Hermiticity and η operator is found for the examples of complex trigonometric Rosen-Morse potential and complex Morse potentials, finally the solutions are found for each model.
Journal Title: Physica Scripta
Year Published: 2023
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