On the nature of "hidden symmetry" or "accidental degeneracy" in the Kepler problem

Details On the nature of "hidden symmetry" or "accidental degeneracy" in the Kepler problem On the nature of "hidden symmetry" or "accidental degeneracy" in the Kepler problem

2006-10-12

arxiv.org/abs/hep-th/0610139v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, conference

Scientific paper

We propose a symmetry of the Dirac equation under the interchange of signs of
eigenvalues of the Dirac's $K$ operator. We show that the only potential which
obeys this requirement is the Coulomb one for both vector and scalar cases.

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