Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Marchesiello, Antonella, Šnobl, Libor
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210595
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates. Antonella Marchesiello and Libor Šnobl. SIGMA 16 (2020), 015, 35 pages

We consider superintegrability in classical mechanics in the presence of magnetic fields. We focus on three-dimensional systems that are separable in Cartesian coordinates. We construct all possible minimally and maximally superintegrable systems in this class with additional integrals quadratic in...