Ja n 20 02 Separation of variables in quasi - potential systems of bi - cofactor form Krzysztof Marciniak
نویسنده
چکیده
We perform variable separation in the quasi-potential systems of equations of the form q̈ = −A−1∇k = −Ã−1∇k̃ , where A and à are Killing tensors, by embedding these systems into a bi-Hamiltonian chain and by calculating the corresponding Darboux-Nijenhuis coordinates on the symplectic leaves of one of the Hamiltonian structures of the system. We also present examples of the corresponding separation coordinates in two and three dimensions. AMS 2000 Classification System: 70H06,70H20,53D17 On leave of absence from Department of Physics, A. Mickiewicz University, Poznań, Poland. Partially supported by KBN grant No 5P03B 004 20
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