Generalized Ladder Operators for the Dirac-Coulomb Problem via SUSY QM

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.

9 pages, Revtex. Preprint CBPF NF-032/03

References in corpus (8)

• Relativistic shape invariant potentials
• A Generalized Jaynes-Cummings Hamiltonian and Supersymmetric Shape-Invariance
• Confinement of fermions by mixed vector-scalar linear potentials in two-dimensional space-time
• Angular Momentum of Supersymmetric Cold Rydberg Atoms
• Confinement of neutral fermions by a pseudoscalar double-step potential in (1+1) dimensions
• Supersymmetric and Shape-Invariant Generalization for Nonresonant and Intensity-Dependent Jaynes-Cummings Systems
• Comment on Solution of the Relativistic Dirac-Morse Problem
• Comment on "Relativistic extension of shape-invariant potentials"

Cited by in corpus (5)

• Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators
• Spectrum of the Relativistic Particles in Various Potentials
• su(1,1) Algebraic approach of the Dirac equation with Coulomb-type scalar and vector potentials in D + 1 dimensions
• An $su(1,1)$ algebraic approach for the relativistic Kepler-Coulomb problem
• $SU(1,1)$ coherent states for Dirac-Kepler-Coulomb problem in $D+1$ dimensions with scalar and vector potentials