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|Title:||Higgs algebraic symmetry of screened system in a spherical geometry|
|Citation:||Li, Y., Zhang, F.-L., Gu, R.-J., Chen, J.-L. (2013-09). Higgs algebraic symmetry of screened system in a spherical geometry. Communications in Theoretical Physics 60 (3) : 278-282. ScholarBank@NUS Repository. https://doi.org/10.1088/0253-6102/60/3/04|
|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 (2000) 032509]. We find similar properties in the corresponding systems in a spherical space, whose dynamical symmetries are described by Higgs algebra. There exist extended Runge - Lenz vector for screened Coulomb potentials and extended quadruple tensor for screened harmonic oscillators. They, together with angular momentum, constitute the generators of the geometrical symmetry group. Moreover, there exist an infinite number of closed orbits for suitable angular momentum values, and we give the equations of the classical orbits. The eigenenergy spectrum and corresponding eigenstates in these systems are derived. © 2013 Chinese Physical Society and IOP Publishing Ltd.|
|Source Title:||Communications in Theoretical Physics|
|Appears in Collections:||Staff Publications|
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