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

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

2008-09-16

arxiv.org/abs/0809.2694v2

Phys. Rev. A 78, 040101(R) (2008)

Physics

Quantum Physics

3 pages,Accepted by PRA as a Rapid Communication

Scientific paper

10.1103/PhysRevA.78.040101

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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