Symmetries in Non Commutative Configuration space
Abstract
Extending earlier work(*), we examine the deformation of the canonical symplectic structure in a cotangent bundle T() by additional terms implying the Poisson non-commutativity of both configuration and momentum variables. In this short note, we claim this can be done consistently when is a Lie group. -- (*) F.J.Vanhecke, C.Sigaud and A.R.da Silva, arXiv:math-phys/0502003(2005) and Braz.J.Phys. 36,no IB,194(2006)
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