2007/10/26 by Armen Nersessian, Vahagn Yeghikyan · 1 citation
Mathematics · Physics and Astronomy · #Anisotropy #Astrophysics #Classical mechanics #Generalization #Integrable system #Kepler #Kepler problem #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pulsars and Gravitational Waves Research #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Stars #Transformation (genetics) #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/1751-8113/41/15/155203
published as J.Phys.A41:155203,2008 · 7 pages
arxiv created 2007/10/26 · openalex publication_date 2008/04/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We propose the integrable (pseudo)spherical generalization of the four-dimensional anisotropic oscillator with additional nonlinear potential. Performing its Kustaanheimo–Stiefel transformation we then obtain the pseudospherical generalization of the MICZ-Kepler system with linear and cos θ potential terms. We also present the generalization of the parabolic coordinates, in which this system admits the separation of variables. Finally, we get the spherical analog of the presented MICZ-Kepler-like system.