Dynamical Symmetries of Dirac Hamiltonian
High Energy Physics - Phenomenology
2015-05-28 v3 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1107.0747,
title = {Dynamical Symmetries of Dirac Hamiltonian},
author = {Riazuddin},
journal= {arXiv preprint arXiv:1107.0747},
year = {2015}
}
Comments
15 pages, V3 typos removed and some new material included