Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Kudryashov, V.V., Kurochkin, Yu.A., Ovsiyuk, E.M., Red'kov, V.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146095
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models / V.V. Kudryashov, Yu.A. Kurochkin, E.M. Ovsiyuk, V.M. Red'kov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 19 назв. — англ.

Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in Euclidean space. In both cases three integrals of motions are constructed and equations of motion are sol...