Quantization of the Linearized Kepler Problem

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dc.creatorGuerrero, Julio
dc.creatorPerez, Jose Miguel
dc.date2003-03-14
dc.date.accessioned2026-07-07T04:29:54Z
dc.date.available2026-07-07T04:29:54Z
dc.descriptionThe linearized Kepler problem is considered, as obtained from the Kustaanheimo-Stiefel (K-S)transformation, both for negative and positive energies. The symmetry group for the Kepler problem turns out to be SU(2,2). For negative energies, the Hamiltonian of Kepler problem can be realized as the sum of the energies of four harmonic oscillator with the same frequency, with a certain constrain. For positive energies, it can be realized as the sum of the energies of four repulsive oscillator with the same (imaginary) frequency, with the same constrain. The quantization for the two cases, negative and positive energies is considered, using group theoretical techniques and constrains. The case of zero energy is also discussed.
dc.description4 pages, Latex. To Appear in the Proceedings of GROUP24, Paris (France), July 2002
dc.identifierhttps://arxiv.org/abs/math-ph/0303037
dc.identifierhttp://arxiv.org/abs/math-ph/0303037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57327
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject81S10 (Primary) 53D50 (Secondary)
dc.titleQuantization of the Linearized Kepler Problem
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