Generalized spinning particles on S2 in accord with the Bianchi classification; European Physical Journal C; Vol. 81, iss. 3
| Parent link: | European Physical Journal C Vol. 81, iss. 3.— 2021.— [206, 8 p.] |
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| Zusammenfassung: | Title screen Motivated by recent studies of superconformal mechanics extended by spin degrees of freedom, we construct minimally superintegrable models of generalized spinning particles on S2S2, the internal degrees of freedom of which are represented by a 3-vector obeying the structure relations of a three-dimensional real Lie algebra. Extensions involving an external field of the Dirac monopole, or the motion on the group manifold of SU(2), or a scalar potential giving rise to two quadratic constants of the motion are discussed. A procedure how to build similar models, which rely upon real Lie algebras with dimensions d=4,5,6d=4,5,6, is elucidated. |
| Sprache: | Englisch |
| Veröffentlicht: |
2021
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| Online-Zugang: | https://doi.org/10.1140/epjc/s10052-021-08993-1 |
| Format: | Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=665592 |
MARC
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| 200 | 1 | |a Generalized spinning particles on S2 in accord with the Bianchi classification |f A. V. Galajinsky | |
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| 300 | |a Title screen | ||
| 320 | |a [References: 18 tit.] | ||
| 330 | |a Motivated by recent studies of superconformal mechanics extended by spin degrees of freedom, we construct minimally superintegrable models of generalized spinning particles on S2S2, the internal degrees of freedom of which are represented by a 3-vector obeying the structure relations of a three-dimensional real Lie algebra. Extensions involving an external field of the Dirac monopole, or the motion on the group manifold of SU(2), or a scalar potential giving rise to two quadratic constants of the motion are discussed. A procedure how to build similar models, which rely upon real Lie algebras with dimensions d=4,5,6d=4,5,6, is elucidated. | ||
| 461 | |t European Physical Journal C | ||
| 463 | |t Vol. 81, iss. 3 |v [206, 8 p.] |d 2021 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Galajinsky |b A. V. |c Doctor of Physical and Mathematical Sciences, Tomsk Polytechnic University (TPU), Department of Higher Mathematics and Mathematical Physics of the Institute of Physics and Technology (HMMPD IPT) |c Professor of the TPU |f 1971- |g Anton Vladimirovich |3 (RuTPU)RU\TPU\pers\27878 |9 12894 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Исследовательская школа физики высокоэнергетических процессов |c (2017- ) |3 (RuTPU)RU\TPU\col\23551 |
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