Generalized Stäckel systems |
| |
Authors: | Maciej B?aszak Artur Sergyeyev |
| |
Institution: | a Department of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland b Mathematical Institute, Silesian University in Opava, Na Rybní?ku 1, 74601 Opava, Czech Republic |
| |
Abstract: | We consider the generalized Stäckel systems, the broadest class of integrable Hamiltonian systems that admit separation of variables and possess separation relations affine in the Hamiltonians. For these systems we construct in a systematic fashion hierarchies of basic separable potentials. Moreover, we show how the equations of motion for the systems under study are related through appropriately chosen reciprocal transformations and how the respective constants of motion are related through generalized Stäckel transforms. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|