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100			_a20170217a2016 k y0engy50 ba
101	0		_aeng
135			_adrcn ---uucaa
181		0	_ai
182		0	_ab
200	1		_aNoncommutative Integration and Symmetry Algebra of the Dirac Equation on the Lie Groups _fA. I. Breev, E. A. Mosman
203			_aText _celectronic
300			_aTitle screen
320			_a[References: 20 tit.]
330			_aThe algebra of first-order symmetry operators of the Dirac equation on four-dimensional Lie groups with right-invariant metric is investigated. It is shown that the algebra of symmetry operators is in general not a Lie algebra. Noncommutative reduction mediated by spin symmetry operators is investigated. For the Dirac equation on the Lie group SO(2,1) a parametric family of particular solutions obtained by the method of noncommutative integration over a subalgebra containing a spin symmetry operator is constructed.
333			_aРежим доступа: по договору с организацией-держателем ресурса
461			_tRussian Physics Journal _d1965-
463			_tVol. 59, iss. 8 _v[P. 1153–1163] _d2016
610	1		_aэлектронный ресурс
610	1		_aтруды учёных ТПУ
610	1		_aуравнение Дирака
610	1		_aнекоммуникативное интегрирование
610	1		_aсимметрические алгебры
700		1	_aBreev _bA. I. _cmathematician _cassociate Professor of Tomsk Polytechnic University, candidate of physico-mathematical Sciences _f1985- _gAleksandr Igorevich _2stltpush _3(RuTPU)RU\TPU\pers\36617
701		1	_aMosman _bE. A. _cmathematician _csenior teacher pf Tomsk Polytechnic University, candidate of physico-mathematical Sciences _f1985- _gElena Arkadievna _2stltpush _3(RuTPU)RU\TPU\pers\34834
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 _c20170217 _gRCR
856	4	0	_uhttp://dx.doi.org/10.1007/s11182-016-0885-6
942			_cCF