Physics – Quantum Physics
Scientific paper
2005-07-27
Bull.Georg.Acad.Sci. 172 (2005) 452
Physics
Quantum Physics
6 pages, to be published in Bull. Georg. Acad. Sci
Scientific paper
The theorem known from Pauli equation about operators that anticommute with Dirac's $K$-operator is generalized to the Dirac equation. By means of this theorem the operator is constructed which governs the hidden symmetry in relativistic Coulomb problem (Dirac equation). It is proved that this operator coincides with the familiar Johnson-Lippmann one and is intimately connected to the famous Laplace-Runge-Lenz (LRL) vector. Our derivation is very simple and informative. It does not require a longtime and tedious calculations, as is offten underlined in most papers.
Khachidze Tamari T.
Khelashvili Ansor A.
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