Symmetries in Non Commutative Configuration space

Details Symmetries in Non Commutative Configuration space Symmetries in Non Commutative Configuration space

2006-10-05

arxiv.org/abs/math-ph/0610009v1

PoSIC2006:052,2006

Physics

Mathematical Physics

comunicated at the $V^{th}$ International Conference on Mathematical Methods in Physics -IC2006, april 2006, CBPF, Rio de Jane

Scientific paper

Extending earlier work(*), we examine the deformation of the canonical symplectic structure in a cotangent bundle $T^\star(\Q)$ 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 $\Q$ is a Lie group. -- (*) F.J.Vanhecke, C.Sigaud and A.R.da Silva, arXiv:math-phys/0502003(2005) and Braz.J.Phys.{\bf 36},no IB,194(2006)

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