Isospin particle systems on quaternionic projective spaces; Physical Review D; Vol. 87, iss. 4

Isospin particle systems on quaternionic projective spaces; Physical Review D; Vol. 87, iss. 4

Bibliographic Details
Parent link:Physical Review D: Particles, Fields, Gravitation, and Cosmology
Vol. 87, iss. 4.— 2013.— [045005]
Other Authors: Bellucci S. Stefano, Krivonos S. Sergey, Nersessian A. P. Armen Petrosovich, Yeghikyan V. Vahagn
Summary:Title screen
We construct the isospin particle system on n-dimensional quaternionic projective spaces in the presence of the Belavin-Polyakov-Schwarz-Tyupkin instanton by the reduction from the free particle on (2n+1)-dimensional complex projective space. Then we add to this system a “quaternionic oscillator potential” and show that this oscillatorlike system is superintegrable. We show that, besides the analogs of quadratic constants of motion of the spherical (Higgs) and CPn oscillators, it possesses the third-order constants of motion, which are functionally independent from the quadratic ones.
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 2013
Subjects:
электронный ресурс
труды учёных ТПУ
Online Access:http://dx.doi.org/10.1103/PhysRevD.87.045005
http://arxiv.org/abs/1212.1663
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641528

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