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Modified symplectic structures in cotangent bundles of lie groups

In earlier work [1], we studied an extension of the canonical symplectic structure in the cotangent bundle of an affine space Q = R N, by additional terms implying the Poisson non-commutativity of both configuration and momentum variables. In this article, we claim that such an extension can be done consistently when Q is a Lie group G.

Symplectic Mechanics; Noncommutative Configuration Space


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