Perturbed (2𝑛 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of 𝑈(𝑛, 𝑛)

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• 1. Verfasser: Odzijewicz, Anatol
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210761
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Perturbed (2𝑛 − 1)-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of 𝑈(𝑛, 𝑛). Anatol Odzijewicz. SIGMA 16 (2020), 087, 23 pages

We study the regularized (2𝑛 − 1)-Kepler problem and other Hamiltonian systems which are related to the nilpotent coadjoint orbits of 𝑈(𝑛, 𝑛). The Kustaanheimo-Stiefel and Cayley regularization procedures are discussed, and their equivalence is shown. Some integrable generalization (perturbation) of...