Higgs algebraic symmetry in the two-dimensional Dirac equation
arXiv:0907.0757 · doi:10.1103/PhysRevA.80.054102
Abstract
The dynamical symmetry algebra of the two-dimensional Dirac Hamiltonian with equal scalar and vector Smorodinsky-Winternitz potentials is constructed. It is the Higgs algebra, a cubic polynomial generalization of SU(2). With the help of the Casimir operators, the energy levels are derived algebraically.
4p, no fig, pubulished version