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100 _a20150521a2013 k y0engy50 ba
101 0 _aeng
102 _aUS
135 _adrcn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aIsospin particle systems on quaternionic projective spaces
_fS. Bellucci [et al.]
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: 14 tit.]
330 _aWe 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.
333 _aРежим доступа: по договору с организацией-держателем ресурса
461 _tPhysical Review D
_oParticles, Fields, Gravitation, and Cosmology
_oScientific Journal
463 _tVol. 87, iss. 4
_v[045005]
_d2013
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
701 1 _aBellucci
_bS.
_gStefano
701 1 _aKrivonos
_bS.
_gSergey
701 1 _aNersessian
_bA. P.
_cphysicist
_cProfessor of Tomsk Polytechnic University
_f1964-
_gArmen Petrosovich
_2stltpush
_3(RuTPU)RU\TPU\pers\34605
701 1 _aYeghikyan
_bV.
_gVahagn
801 2 _aRU
_b63413507
_c20150521
_gRCR
856 4 _uhttp://dx.doi.org/10.1103/PhysRevD.87.045005
856 4 _uhttp://arxiv.org/abs/1212.1663
942 _cCF