Article

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

Modern Physics Letters A (Impact Factor: 1.11). 07/2005; DOI: 10.1142/S0217732305018505

Source: arXiv

- Citations (1)
- Cited In (0)

- [Show abstract] [Hide abstract]

**ABSTRACT:**A Dirac particle in general dimensions moving in a 1/r potential is shown to have an exact N = 2 supersymmetry, for which the two supercharge operators are obtained in terms of (a D-dimensional generalization of) the Johnson-Lippmann operator, an extension of the Runge-Lenz-Pauli vector that relativistically incorporates spin degrees of freedom. So the extra symmetry (S(2))in the quantum Kepler problem, which determines the degeneracy of the levels, is so robust as to accommodate the relativistic case in arbitrary dimensions.Journal of Mathematical Physics 11/2004; · 1.30 Impact Factor

Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.