Dirac Equation with Morse Potential under the Influence of Position-Dependent Mass and Local Fermi Velocity

  title={Dirac Equation with Morse Potential under the Influence of Position-Dependent Mass and Local Fermi Velocity},
  author={B. Bagchi and Rathindranath Ghosh},
  journal={Journal of Physics: Conference Series},
  • B. BagchiR. Ghosh
  • Published 14 January 2022
  • Physics, Mathematics
  • Journal of Physics: Conference Series
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. 



Position-dependent mass Dirac equation and local Fermi velocity

  • R. Ghosh
  • Physics
    Journal of Physics A: Mathematical and Theoretical
  • 2021
We present a new approach to study the one-dimensional Dirac equation in the background of a position-dependent mass m. Taking the Fermi velocity v f to be a local variable, we explore the resulting

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