Quantum oscillator on CPn in a constant magnetic field; Physical Review D; Vol. 70, iss. 8

Quantum oscillator on CPn in a constant magnetic field; Physical Review D; Vol. 70, iss. 8

Detalles Bibliográficos
Parent link:Physical Review D: Particles, Fields, Gravitation, and Cosmology
Vol. 70, iss. 8.— 2004.— [085013, 7 p.]
Autor Principal: Bellucci S. Stefano
Outros autores: Nersessian A. P. Armen Petrosovich, Yeranyan A. Armen
Summary: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
Idioma:inglés
Publicado: 2004
Subjects:
электронный ресурс
труды учёных ТПУ
Acceso en liña:http://dx.doi.org/10.1103/PhysRevD.70.085013
http://arxiv.org/abs/hep-th/0406184
Formato: Electrónico Capítulo de libro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641527

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