Modified symplectic structures in cotangent bundles of Lie groups

Vanhecke, F. J.; Sigaud, C.; da Silva, A. R.

Modified symplectic structures in cotangent bundles of Lie groups

Authors

Vanhecke, F. J.

Sigaud, C.

da Silva, A. R.

Description

In earlier work (*) we studied an extension of the canonical symplectic structure in the cotangent bundle of an affine space ${\cal Q}={\bf R}^N$, 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 ${\cal Q}$ is a Lie group $G$. -- (*) : F.J.Vanhecke, C.Sigaud and A.R.da Silva, arXiv:math-phys/0502003 and Braz.J.Phys.{\bf 36},no IB,194(2006)