Perturbed (2๐‘› โˆ’ 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of ๐‘ˆ(๐‘›, ๐‘›)

We study the regularized (2๐‘› โˆ’ 1)-Kepler problem and other Hamiltonian systems which are related to the nilpotent coadjoint orbits of ๐‘ˆ(๐‘›, ๐‘›). The Kustaanheimo-Stiefel and Cayley regularization procedures are discussed, and their equivalence is shown. Some integrable generalization (perturbation) of...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: Odzijewicz, Anatol
Format: Article
Language:English
Published: ะ†ะฝัั‚ะธั‚ัƒั‚ ะผะฐั‚ะตะผะฐั‚ะธะบะธ ะะะ ะฃะบั€ะฐั—ะฝะธ 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210761
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Perturbed (2๐‘› โˆ’ 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of ๐‘ˆ(๐‘›, ๐‘›). Anatol Odzijewicz. SIGMA 16 (2020), 087, 23 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine