Particle Motion in Monopoles and Geodesics on Cones

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2014
• Автор: Mayrand, M.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2014
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/146546
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Particle Motion in Monopoles and Geodesics on Cones/ M. Mayrand // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 35 назв. — англ.

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...