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arXiv · 2107.01668

Position-dependent mass Dirac equation and local Fermi velocity

Rahul Ghosh
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Abstract

We present a new approach to study (1+1)-dimensional Dirac equation in the background of an effective mass $M$ by exploiting the possibility of a position-dependent fermi velocity $v_f$. We explore the resulting structure of the coupled equations and arrive at an interesting constraint of $M$ turning out to be the inverse square of $v_f$. We address several solutions of the effective potential that include the free particle, shifted harmonic oscillator, Morse potential, and CPRS potential.

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Rahul Ghosh. 2021-07-04. Position-dependent mass Dirac equation and local Fermi velocity. https://doi.org/10.1088/1751-8121%2Fac3ce0

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