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100			_a20150521a2010 k y0engy50 ba
101	0		_aeng
102			_aUS
135			_adrcn ---uucaa
181		0	_ai
182		0	_ab
200	1		_aHidden symmetries of integrable conformal mechanical systems _fT. S. Akopyan (Hakobyan) [et al.]
203			_aText _celectronic
300			_aTitle screen
320			_a[References: p. 806 (18 tit.)]
330			_aWe split the generic conformal mechanical system into a “radial” and an “angular” part, where the latter is defined as the Hamiltonian system on the orbit of the conformal group, with the Casimir function in the role of the Hamiltonian. We reduce the analysis of the constants of motion of the full system to the study of certain differential equations on this orbit. For integrable mechanical systems, the conformal invariance renders them superintegrable, yielding an additional series of conserved quantities originally found by Wojciechowski in the rational Calogero model. Finally, we show that, starting from any N=4supersymmetric “angular” Hamiltonian system one may construct a new system with full N=4superconformal D(1,2;α) symmetry.
333			_aРежим доступа: по договору с организацией-держателем ресурса
461			_tPhysics Letters A _oScientific Journal
463			_tVol. 374, iss. 6 _v[P. 801–806] _d2010
610	1		_aэлектронный ресурс
610	1		_aтруды учёных ТПУ
701		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	_aKrivonos _bS. _gSergey
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
801		2	_aRU _b63413507 _c20151028 _gRCR
856	4		_uhttp://dx.doi.org/10.1016/j.physleta.2009.12.006
942			_cCF