An alternative model of spherical oscillator |
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| Authors: | L. G. Mardoyan M. G. Petrosyan |
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| Affiliation: | 1. Yerevan State University, Yerevan, Armenia
2. Stepanakert branch of the State Agrarian University of Armenia, Stepanakert, Nagorno-Karabakh Republic
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| Abstract: | An alternative model of Higgs spherical oscillator is considered. The quasiradial wave functions and energy spectra of the alternative model of spherical oscillator on the D-dimensional sphere and D-dimensional two-sheeted hyperboloid are found. It is shown that the energy spectrum of the alternative model of spherical oscillator on the two-sheeted hyperboloid takes both discrete and continuous values. The obtained results can be applied for constructing quantum Hall effect theory in higher dimensions. |
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