Anisotropic Higgs oscillator

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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.
Contribution to the proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'07), Dubna, July 30-August 4 2007

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