Quantum mechanics model on a Kдhler conifold; Physical Review D; Vol. 70, iss. 4

Quantum mechanics model on a Kдhler conifold; Physical Review D; Vol. 70, iss. 4

Manylion Llyfryddiaeth
Parent link:Physical Review D: Particles, Fields, Gravitation, and Cosmology
Vol. 70, iss. 4.— 2004.— [045006, 5 p.]
Prif Awdur: Bellucci S. Stefano
Awduron Eraill: Nersessian A. P. Armen Petrosovich, Yeranyan A. Armen
Crynodeb: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
Iaith:Saesneg
Cyhoeddwyd: 2004
Pynciau:
электронный ресурс
труды учёных ТПУ
Mynediad Ar-lein:http://dx.doi.org/10.1103/PhysRevD.70.045006
http://arxiv.org/abs/hep-th/0312323
Fformat: Electronig Pennod Llyfr
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641525

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