Dynamical Symmetries of Dirac Hamiltonian

Details Dynamical Symmetries of Dirac Hamiltonian Dynamical Symmetries of Dirac Hamiltonian

2011-07-04

arxiv.org/abs/1107.0747v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, V3 typos removed and some new material included

Scientific paper

Several dynamical symmetries of the Dirac Hamiltonian are reviewed in a systematic manner and the conditions under which such symmetries hold. These include relativistic spin and orbital angular momentum symmetries, SO(4)\times SU_{\sigma}(2) symmetry for the Dirac Hydrogen atom, SU(3)\times SU_{\sigma}(2) symmetry for the relativistic simple harmonic oscillator. The energy spectrum in each case is calculated from group-theoretic considerations.

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