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arXiv · 0809.2694

Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio's oscillator

Fu-Lin Zhang·Bo Fu·Jing-Ling Chen
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Abstract

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. This type hydrogen atom is connected to a four-dimensional Dirac system with equal scalar and vector harmonic oscillator potential, by the Kustaanheimo-Stiefel transformation with a constraint.

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Fu-Lin Zhang, Bo Fu, Jing-Ling Chen. 2008-10-13. Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio's oscillator. https://doi.org/10.1103/physreva.78.040101

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