An $su(1,1)$ algebraic approach for the relativistic Kepler-Coulomb problem

Details An $su(1,1)$ algebraic approach for the relativistic Kepler-Coulomb problem An $su(1,1)$ algebraic approach for the relativistic Kepler-Coulomb problem

2010-06-16

arxiv.org/abs/1006.3233v1

Physics

Mathematical Physics

Scientific paper

We apply the Schr\"odinger factorization method to the radial second-order
equation for the relativistic Kepler-Coulomb problem. From these operators we
construct two sets of one-variable radial operators which are realizations for
the $su(1,1)$ Lie algebra. We use this algebraic structure to obtain the energy
spectrum and the supersymmetric ground state for this system.

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