Quantum oscillator on CPn in a constant magnetic field
| Parent link: | Physical Review D: Particles, Fields, Gravitation, and Cosmology Vol. 70, iss. 8.— 2004.— [085013, 7 p.] |
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| 1. autor: | |
| Kolejni autorzy: | , |
| Streszczenie: | Title screen We construct the quantum oscillator interacting with a constant magnetic field on complex projective spaces CPN, as well as on their noncompact counterparts, i.e., the N-dimensional Lobachewski spaces LN. We find the spectrum of this system and the complete basis of wave functions. Surprisingly, the inclusion of a magnetic field does not yield any qualitative change in the energy spectrum. For N>1 the magnetic field does not break the superintegrability of the system, whereas for N=1 it preserves the exact solvability of the system. We extend these results to the cones constructed over CPN and LN, and perform the Kustaanheimo-Stiefel transformation of these systems to the three dimensional Coulomb-like systems. Режим доступа: по договору с организацией-держателем ресурса |
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2004
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| Hasła przedmiotowe: | |
| Dostęp online: | http://dx.doi.org/10.1103/PhysRevD.70.085013 http://arxiv.org/abs/hep-th/0406184 |
| Format: | Elektroniczne Rozdział |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641527 |
| Streszczenie: | Title screen We construct the quantum oscillator interacting with a constant magnetic field on complex projective spaces CPN, as well as on their noncompact counterparts, i.e., the N-dimensional Lobachewski spaces LN. We find the spectrum of this system and the complete basis of wave functions. Surprisingly, the inclusion of a magnetic field does not yield any qualitative change in the energy spectrum. For N>1 the magnetic field does not break the superintegrability of the system, whereas for N=1 it preserves the exact solvability of the system. We extend these results to the cones constructed over CPN and LN, and perform the Kustaanheimo-Stiefel transformation of these systems to the three dimensional Coulomb-like systems. Режим доступа: по договору с организацией-держателем ресурса |
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| DOI: | 10.1103/PhysRevD.70.085013 |