U(3) and Pseudo-U(3) Symmetry of the Relativistic Harmonic Oscillator
arXiv:nucl-th/0512050 · doi:10.1103/PhysRevLett.95.252501
Abstract
We show that a Dirac Hamiltonian with equal scalar and vector harmonic oscillator potentials has not only a spin symmetry but an U(3) symmetry and that a Dirac Hamiltonian with scalar and vector harmonic oscillator potentials equal in magnitude but opposite in sign has not only a pseudospin symmetry but a pseudo-U(3) symmetry. We derive the generators of the symmetry for each case.
8 pages, 0 figures, pusblished in Physical Review Letters 95, 252501 (2005)
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Cited by in corpus (28)
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