Doubly Exotic 𝑁th-Order Superintegrable Classical Systems Separating in Cartesian Coordinates
Superintegrable classical Hamiltonian systems in two-dimensional Euclidean space 𝐸₂ are explored. The study is restricted to Hamiltonians allowing separation of variables 𝑉(𝑥, 𝑦) = 𝑉₁(𝑥) + 𝑉₂(𝑦) in Cartesian coordinates. In particular, the Hamiltonian ℋ admits a polynomial integral of order 𝑁 > 2...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211629 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Doubly Exotic 𝑁th-Order Superintegrable Classical Systems Separating in Cartesian Coordinates. İsmet Yurduşen, Adrián Mauricio Escobar-Ruiz and Irlanda Palma y Meza Montoya. SIGMA 18 (2022), 039, 20 pages |