On the nature of "hidden symmetry" or "accidental degeneracy" in the Kepler problem
Tamar T. Khachidze, Anzor A. Khelashvili
Abstract
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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