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

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.

3 pages,Accepted by PRA as a Rapid Communication

References in corpus (1)

• Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles

Cited by in corpus (4)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
• Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential