DYNAMICAL SYMMETRIES OF DIRAC HAMILTONIAN

Several dynamical symmetries of the Dirac Hamiltonian are reviewed and the conditions under which such symmetries hold are considered. These include relativistic spin and orbital angular momentum symmetries, SO(4)×SUσ(2) symmetry for generalized relativistic hydrogen atom that includes an extra Lorentz scalar potential, SU(3)×SUσ(2) symmetry for the relativistic simple harmonic oscillator. The energy spectrum in each case is calculated from group-theoretic considerations.