Related papers: Position-dependent mass Dirac equation and local Fermi velocity

Position-dependent mass Dirac equation and local Fermi velocity

URL: http://arxiv.org/abs/2107.01668v2
Date: Thu, 28 Oct 2021 07:27:44 GMT
Title: Position-dependent mass Dirac equation and local Fermi velocity
Authors: Rahul Ghosh
Abstract summary: We present a new approach to study (1+1)-dimensional Dirac equation in the background of an effective mass $M$. 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 $v_f$.
Score: 0.4061135251278187
License: http://creativecommons.org/licenses/by/4.0/
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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