Higgs algebraic symmetry in the two-dimensional Dirac equation

Details Higgs algebraic symmetry in the two-dimensional Dirac equation Higgs algebraic symmetry in the two-dimensional Dirac equation

2009-07-04

arxiv.org/abs/0907.0757v2

Phys.Rev.A80:054102,2009

Physics

Quantum Physics

4p, no fig, pubulished version

Scientific paper

10.1103/PhysRevA.80.054102

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.

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