SUSY Shape-Invariant Hamiltonians for the Generalized Dirac-Coulomb Problem
R. de Lima Rodrigues, Arvind Narayan Vaidya (In memory)
TL;DR
This paper explores the use of supersymmetry in quantum mechanics to analyze a relativistic spin-1/2 particle under a combined Coulomb and scalar potential, providing insights into shape-invariant Hamiltonians.
Contribution
It introduces a supersymmetric framework for the generalized Dirac-Coulomb problem with shape-invariant Hamiltonians, extending previous models.
Findings
Identification of shape-invariant Hamiltonians for the problem
Development of supersymmetric methods for relativistic potentials
Potential applications in quantum systems with combined interactions
Abstract
A spin relativistic particle described by a general potential in terms of the sum of the Coulomb potential with a Lorentz scalar potential is investigated via supersymmetry in quantum mechanics.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems · Quantum Chromodynamics and Particle Interactions