Noncommutative Integration and Symmetry Algebra of the Dirac Equation on the Lie Groups
| Parent link: | Russian Physics Journal.— , 1965- Vol. 59, iss. 8.— 2016.— [P. 1153–1163] |
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| Main Author: | |
| Corporate Author: | |
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| Summary: | Title screen The 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. Режим доступа: по договору с организацией-держателем ресурса |
| Language: | English |
| Published: |
2016
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/s11182-016-0885-6 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=653243 |
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| 200 | 1 | |a Noncommutative Integration and Symmetry Algebra of the Dirac Equation on the Lie Groups |f A. I. Breev, E. A. Mosman | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 20 tit.] | ||
| 330 | |a The 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 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Russian Physics Journal |d 1965- | ||
| 463 | |t Vol. 59, iss. 8 |v [P. 1153–1163] |d 2016 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a уравнение Дирака | |
| 610 | 1 | |a некоммуникативное интегрирование | |
| 610 | 1 | |a симметрические алгебры | |
| 700 | 1 | |a Breev |b A. I. |c mathematician |c associate Professor of Tomsk Polytechnic University, candidate of physico-mathematical Sciences |f 1985- |g Aleksandr Igorevich |3 (RuTPU)RU\TPU\pers\36617 | |
| 701 | 1 | |a Mosman |b E. A. |c mathematician |c senior teacher pf Tomsk Polytechnic University, candidate of physico-mathematical Sciences |f 1985- |g Elena Arkadievna |3 (RuTPU)RU\TPU\pers\34834 |9 18171 | |
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