Higgs algebraic symmetry in the two-dimensional Dirac equation
classification
🪐 quant-ph
keywords
algebradirachiggssymmetrytwo-dimensionalalgebraicalgebraicallycasimir
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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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