Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio's oscillator
Quantum Physics
2008-10-29 v2 Nuclear Theory
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.
Keywords
Cite
@article{arxiv.0809.2694,
title = {Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio's oscillator},
author = {Fu-Lin Zhang and Bo Fu and Jing-Ling Chen},
journal= {arXiv preprint arXiv:0809.2694},
year = {2008}
}
Comments
3 pages,Accepted by PRA as a Rapid Communication