Generalized Ladder Operators for the Dirac-Coulomb Problem via SUSY QM
R. de Lima Rodrigues
TL;DR
This paper introduces generalized ladder operators derived from supersymmetry and shape invariance to solve the Dirac-Coulomb problem, providing an algebraic approach to find energy states.
Contribution
It presents a novel algebraic method using generalized ladder operators based on SUSY QM for solving the Dirac-Coulomb problem.
Findings
Successfully derived ground and excited states algebraically.
Demonstrated the applicability of shape invariance in relativistic quantum systems.
Provided a new framework for solving Dirac equations with Coulomb potential.
Abstract
The supersymmetry in quantum mechanics and shape invariance condition are applied as an algebraic method to solve the Dirac-Coulomb problem. The ground state and the excited states are investigated using new generalized ladder operators.
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