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Quasi invariants and generalized killing vectors
Authors:B R Sitaram  Ram K Varma
Affiliation:(1) Physical Research Laboratory, 380 009 Navrangpura, Ahmedabad, India
Abstract:The connection between quasi-invariants (invariants of a Hamiltonian system defined only on a single constant energy hypersurface) and generalized Killing vector fields associated with the corresponding Jacobi metric is investigated. The results are used to deduce a generalised form of the classical Whittaker problem in two degrees of freedom.
Keywords:Invariants  Killing vectors  Jacobi metric  Whittaker problem
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