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

Библиографические подробности
Источник:	Physical Review D: Particles, Fields, Gravitation, and Cosmology Vol. 70, iss. 8.— 2004.— [085013, 7 p.]
Главный автор:	Bellucci S. Stefano
Другие авторы:	Nersessian A. P. Armen Petrosovich, Yeranyan A. Armen
Примечания:	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
Язык:	английский
Опубликовано:	2004
Предметы:	электронный ресурс труды учёных ТПУ
Online-ссылка:	http://dx.doi.org/10.1103/PhysRevD.70.085013 http://arxiv.org/abs/hep-th/0406184
Формат:	Электронный ресурс Статья
Запись в KOHA:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641527

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