Related papers: Dirac equation with Morse potetnial under the influence of position-dependent mass and local Fermi velocity

Dirac equation with Morse potetnial under the influence of position-dependent mass and local Fermi velocity

URL: http://arxiv.org/abs/2201.05296v1
Date: Fri, 14 Jan 2022 04:04:11 GMT
Title: Dirac equation with Morse potetnial under the influence of position-dependent mass and local Fermi velocity
Authors: Bijan Bagchi, Rahul Ghosh
Abstract summary: We take the Fermi velocity as a local variable and examine the combined effects of the two on the solvability of the Dirac equation. Our results for the wave functions and the energy levels corresponding to such an extended scheme are furnished in closed forms.
Score: 0.4061135251278187
License: http://creativecommons.org/publicdomain/zero/1.0/
Abstract: We solve the one-dimensional Dirac equation by taking into account the possibility of position-dependence in the mass function. We also take the Fermi velocity to act as a local variable and examine the combined effects of the two on the solvability of the Dirac equation with respect to the Morse potential. Our results for the wave functions and the energy levels corresponding to such an extended scheme are furnished in closed forms.

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