Anisotropic Higgs oscillator

Details Anisotropic Higgs oscillator Anisotropic Higgs oscillator

2007-11-07

arxiv.org/abs/0711.1033v1

Physics

Mathematical Physics

Contribution to the proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'07), Dubna, July 3

Scientific paper

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 $\cos\theta$ potential. We write down the potentials and hidden symmetry generators of these systems, in terms of ambient Euclidean space.

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