Particle Motion in Monopoles and Geodesics on Cones
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Particle Motion in Monopoles and Geodesics on Cones
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| Creator |
Mayrand, M.
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| Description |
The equations of motion of a charged particle in the field of Yang's SU(2) monopole in 5-dimensional Euclidean space are derived by applying the Kaluza-Klein formalism to the principal bundle R⁸∖{0}→R⁵∖{0} obtained by radially extending the Hopf fibration S⁷→S⁴, and solved by elementary methods. The main result is that for every particle trajectory r:I→R⁵∖{0}, there is a 4-dimensional cone with vertex at the origin on which r is a geodesic. We give an explicit expression of the cone for any initial conditions.
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| Date |
2019-02-09T21:13:10Z
2019-02-09T21:13:10Z 2014 |
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| Type |
Article
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| Identifier |
Particle Motion in Monopoles and Geodesics on Cones/ M. Mayrand // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 35 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 70H06; 34A26; 53B50 DOI:10.3842/SIGMA.2014.102 http://dspace.nbuv.gov.ua/handle/123456789/146546 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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