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：2
|
作者：
Medjenah, S. [1 ]
Benamira, F. [1 ]
机构：
[1] Univ Freres Mentouri Constantine 1, Fac Sci Exactes, Lab Phys Theor, Dept Phys, Route dAin El Bey, Constantine 25000, Algeria
来源：
INDIAN JOURNAL OF PHYSICS | 2023年 / 97卷 / 01期
关键词：
Supersymmetry in quantum mechanics; Shape invariance; PT-symmetry; Dirac equation; Position-dependent mass; Bound states; KLEIN-GORDON EQUATION; SCHRODINGER-EQUATION; STATE SOLUTIONS; BOUND-STATES; SPECTRA; HULTHEN; SUPERSYMMETRY; PARTICLE;
D O I：
10.1007/s12648-022-02404-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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 Schrodinger-like equation with an energy-dependent effective potential.
引用
收藏
页码：141 / 146
页数：6
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