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arXiv · 1208.3382

Higgs algebraic symmetry of screened system in a spherical geometry

Yan Li·Fu-Lin Zhang·Jing-Ling Chen
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Abstract

The orbits and the dynamical symmetries for the screened Coulomb potentials and isotropic harmonic oscillators have been studied by Wu and Zeng [Z. B. Wu and J. Y. Zeng, Phys. Rev. A 62,032509 (2000)]. We find the similar properties in the responding systems in a spherical space, whose dynamical symmetries are described by Higgs Algebra. There exists a conserved aphelion and perihelion vector, which, together with angular momentum, constitute the generators of the geometrical symmetry group at the aphelia and perihelia points $(\dot{r}=0)$.

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Yan Li, Fu-Lin Zhang, Jing-Ling Chen. 2012-08-16. Higgs algebraic symmetry of screened system in a spherical geometry. https://doi.org/10.1088/0253-6102%2F60%2F3%2F04

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