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

页码：141 / 146

页数：6

共 35 条

[31] Analytical approximations to the l-wave solutions of the Klein-Gordon equation with position-dependent mass for mixed vector and scalar Hulthen-type potentials by using SUSYQM approach [J].