000 02396nlm1a2200373 4500
001 641549
005 20231030040431.0
035 _a(RuTPU)RU\TPU\network\6466
035 _aRU\TPU\network\6461
090 _a641549
100 _a20150521a2014 k y0engy50 ba
101 0 _aeng
102 _aUS
135 _adrcn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aSuperintegrability of generalized Calogero models with oscillator or Coulomb potential
_fT. S. Akopyan (Hakobyan), O. Lechtenfeld, A. P. Nersessian
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: 29 tit.]
330 _aWe deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb systems, replacing their angular degrees of freedom by those of a generalized rational Calogero model. Using the action-angle description, it is established that maximal superintegrability is retained. For the rational Calogero model with Coulomb potential, we present all constants of motion via matrix model reduction. In particular, we construct the analog of the Runge-Lenz vector.
333 _aРежим доступа: по договору с организацией-держателем ресурса
461 _tPhysical Review D
_oParticles, Fields, Gravitation, and Cosmology
_oScientific Journal
463 _tVol. 90, iss. 10
_v[101701, 6 p.]
_d2014
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
700 1 _aAkopyan (Hakobyan)
_bT. S.
_cphysicist
_cProfessor of Tomsk Polytechnic University, doctor of physical and mathematical sciences
_f1965-
_gTigran Stepanovich
_2stltpush
_3(RuTPU)RU\TPU\pers\35457
701 1 _aLechtenfeld
_bO.
_gOlaf
701 1 _aNersessian
_bA. P.
_cphysicist
_cProfessor of Tomsk Polytechnic University
_f1964-
_gArmen Petrosovich
_2stltpush
_3(RuTPU)RU\TPU\pers\34605
712 0 2 _aНациональный исследовательский Томский политехнический университет (ТПУ)
_bФизико-технический институт (ФТИ)
_bКафедра высшей математики и математической физики (ВММФ)
_h139
_2stltpush
_3(RuTPU)RU\TPU\col\18727
801 2 _aRU
_b63413507
_c20151028
_gRCR
856 4 _uhttp://dx.doi.org/10.1103/PhysRevD.90.101701
856 4 _uhttp://arxiv.org/abs/1409.8288
942 _cCF