Three-dimensional oscillator and Coulomb systems reduced from Kahler spaces
| Parent link: | Journal of Physics A: Mathematical and General: Scientific Journal Vol. 37, iss. 7.— 2004.— [P. 2791-2801] |
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| Summary: | Title screen We define the oscillator and Coulomb systems on four-dimensional spaces with U(2)-invariant Kähler metric and perform their Hamiltonian reduction to the three-dimensional oscillator and Coulomb systems specified by the presence of Dirac monopoles. We find the Kähler spaces with conic singularity, where the oscillator and Coulomb systems on three-dimensional sphere and two-sheet hyperboloid originate. Then we construct the superintegrable oscillator system on three-dimensional sphere and hyperboloid, coupled to a monopole, and find their four-dimensional origins. In the latter case the metric of configuration space is a non-Kähler one. Finally, we extend these results to the family of Kähler spaces with conic singularities. Режим доступа: по договору с организацией-держателем ресурса |
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2004
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| Online Access: | http://dx.doi.org/10.1088/0305-4470/37/7/020 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641439 |