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Hill’s equations are an approximation that is useful in a number of areas of astrophysics including planetary rings and planetesimal disks. We derive a symplectic method for integrating Hill’sequation...
Covariant star product on symplectic and Poisson spacetime manifolds
covariant Poisson bracket symplectic manifold deformation quantization
2010/3/18
A covariant Poisson bracket and an associated covariant star product in the sense of deformation quantization are defined on the algebra of tensor-valued differential forms on a symplectic manifold, a...