摘要
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) x SU sigma(2) symmetry for generalized relativistic hydrogen atom that includes an extra Lorentz scalar potential, SU(3) x SU sigma(2) symmetry for the relativistic simple harmonic oscillator. The energy spectrum in each case is calculated from group-theoretic considerations.
- 出版日期2012-3-10