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quant-ph2008★ 22 cited
Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio's oscillator
Fu-Lin Zhang, Bo Fu, Jing-Ling Chen
The Dirac hydrogen atom with spin symmetry is shown has a SO(4) symmetry. The generators are derived, and the corresponding Casimir operator leads to the energy spectrum naturally.…
quant-ph2008★ 8 cited
Dynamical symmetries of two-dimensional systems in relativistic quantum mechanics
Fu-Lin Zhang, Ci Song, Jing-Ling Chen
The two-dimensional Dirac Hamiltonian with equal scalar and vector potentials has been proved commuting with the deformed orbital angular momentum . When the potential takes the…