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

2022/01/14 by Bijan Bagchi, Rahul Ghosh, Bagchi, Bijan +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2201.05296

openalex publication_date 2022/01/14 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

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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• Exact solution of Schrödinger equation for the complex Morse potential to investigate physical systems with position-dependent complex mass

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