Block-Separation of Variables: a Form of Partial Separation for Natural Hamiltonians

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Chanu, C.M., Rastelli, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210062
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Block-Separation of Variables: a Form of Partial Separation for Natural Hamiltonians / C.M. Chanu, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 31 назв. — англ.

We study twisted products H=αʳHᵣ of natural autonomous Hamiltonians Hᵣ, each one depending on a separate set, called here a separate r-block, of variables. We show that, when the twist functions αʳ are a row of the inverse of a block-Stäckel matrix, the dynamics of H reduce to the dynamics of the Hᵣ...