Exact solution of time-independent one-dimensional Dirac equation with position-dependent mass and vector potential of hyperbolic type by generalized SUSY QM approach

被引:0
作者
S. Medjenah
F. Benamira
机构
[1] Université Frères Mentouri Constantine 1,Laboratoire de Physique Théorique, Département de Physique, Faculté Des Sciences Exactes
来源
Indian Journal of Physics | 2023年 / 97卷
关键词
Supersymmetry in quantum mechanics; Shape invariance; PT-symmetry; Dirac equation; Position-dependent mass; Bound states;
D O I
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中图分类号
学科分类号
摘要
In this work, we present a method to solve the one-dimensional time-independent Dirac equation with position-dependent mass using the supersymmetric quantum mechanics (SUSY QM) approach and shape invariance. Choosing the vector potential equal to the mass term and as a hyperbolic function, the Dirac equation is solved exactly, for bound states, by reducing it to a position-dependent Schrödinger-like equation with an energy-dependent effective potential.
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页码:141 / 146
页数:5
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