3D Oscillator and Coulomb Systems reduced from Kahler spaces

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dc.creatorNersessian, Armen
dc.creatorYeranyan, Armen
dc.date2003-09-19
dc.date.accessioned2026-07-07T10:49:45Z
dc.date.available2026-07-07T10:49:45Z
dc.descriptionWe define the oscillator and Coulomb systems on four-dimensional spaces with U(2)-invariant Kahler metric and perform their Hamiltonian reduction to the three-dimensional oscillator and Coulomb systems specified by the presence of Dirac monopoles. We find the Kahler spaces with conic singularity, where the oscillator and Coulomb systems on three-dimensional sphere and two-sheet hyperboloid are originated. Then we construct the superintegrable oscillator system on three-dimensional sphere and hyperboloid, coupled to monopole, and find their four-dimensional origins. In the latter case the metric of configuration space is non-Kahler one. Finally, we extend these results to the family of Kahler spaces with conic singularities.
dc.descriptionTo the memory of Professor Valery Ter-Antonyan, 11 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0309196
dc.identifierhttp://arxiv.org/abs/hep-th/0309196
dc.identifierJ.Phys.A37:2791-2802,2004
dc.identifierdoi:10.1088/0305-4470/37/7/020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184325
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.title3D Oscillator and Coulomb Systems reduced from Kahler spaces
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