Two hamiltonian structures for the Kepler problem are constructed. However, the recursion operator T does not lead to a new functionally independent hamiltonian. The result holds for any vector field satisfying the energy-period theorem hypotheses, and admitting a tensor field T which factorizes via two symplectic structures.
When do Recursion operators generate new conservation laws?
MARMO, Giuseppe;VILASI, Gaetano
1992-01-01
Abstract
Two hamiltonian structures for the Kepler problem are constructed. However, the recursion operator T does not lead to a new functionally independent hamiltonian. The result holds for any vector field satisfying the energy-period theorem hypotheses, and admitting a tensor field T which factorizes via two symplectic structures.File in questo prodotto:
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