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

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2020
• Автори: Marchesiello, Antonella, Šnobl, Libor
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2020
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/210595
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...