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arXiv · 0907.0757

Higgs algebraic symmetry in the two-dimensional Dirac equation

Fu-Lin Zhang·Bo Fu·Jing-Ling Chen
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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.

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Fu-Lin Zhang, Bo Fu, Jing-Ling Chen. 2009-07-04. Higgs algebraic symmetry in the two-dimensional Dirac equation. https://doi.org/10.1103/physreva.80.054102

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