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Anisotropic Higgs oscillator

2007/11/07 by Armen Nersessian, Nersessian, Armen, Vahagn Yeghikyan +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.0711.1033

openalex publication_date 2007/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the higher-dimensional generalization of anisotropic (pseudo)spherical oscillator suggested recently in [arXiv:0710.5001], and the related spherical and pseudosperical generalizations (MICZ-)Kepler like systems with Stark term and cosθ potential. We write down the potentials and hidden symmetry generators of these systems, in terms of ambient Euclidean space.

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