Quantum mechanics model on a Kдhler conifold
| Parent link: | Physical Review D: Particles, Fields, Gravitation, and Cosmology Vol. 70, iss. 4.— 2004.— [045006, 5 p.] |
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| Auteur principal: | |
| Autres auteurs: | , |
| Résumé: | Title screen We propose an exactly solvable model of the quantum oscillator on the class of Kдhler spaces (with conic singularities), connected with two-dimensional complex projective spaces. Its energy spectrum is nondegenerate in the orbital quantum number, when the space has nonconstant curvature. We reduce the model to a three-dimensional system interacting with the Dirac monopole. Owing to noncommutativity of the reduction and quantization procedures, the Hamiltonian of the reduced system gets nontrivial quantum corrections. We transform the reduced system into a MIC-Kepler-like one and find that quantum corrections arise only in its energy and coupling constant. We present the exact spectrum of the generalized MIC-Kepler system. The one-(complex) dimensional analog of the suggested model is formulated on the Riemann surface over the complex projective plane and could be interpreted as a system with fractional spin. Режим доступа: по договору с организацией-держателем ресурса |
| Publié: |
2004
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| Sujets: | |
| Accès en ligne: | http://dx.doi.org/10.1103/PhysRevD.70.045006 http://arxiv.org/abs/hep-th/0312323 |
| Format: | Électronique Chapitre de livre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641525 |