An "Accidental" Symmetry Operator for the Dirac Equation in the Coulomb Potential

Details An "Accidental" Symmetry Operator for the Dirac Equation in the Coulomb Potential An "Accidental" Symmetry Operator for the Dirac Equation in the Coulomb Potential

2005-07-26

arxiv.org/abs/hep-th/0507247v2

Mod.Phys.Lett. A20 (2005) 2277-2282

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1142/S0217732305018505

On the basis of the generalization of the theorem about K-odd operators (K is the Dirac's operator), certain linear combination is constructed, which appears to commute with the Dirac Hamiltonian for Coulomb field. This operator coincides with the Johnson and Lippmann operator and is intimately connected to the familiar Laplace-Runge-Lenz vector. Our approach guarantees not only derivation of Johnson-Lippmann operator, but simultaneously commutativity with the Dirac Hamiltonian follows.

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