Add to ORKGExtending earlier work [7], we examine the deformation of the canonical symplectic structure in a cotangent bundle T?(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
Motivated by the group of Galilean transformations and the subgroup of Galilean transformations whic...
In this paper, we present the results of our investigation relating particle dynamics and non-commut...
We prove that a transformation, conjectured in our previous work, between phase-space variables in $...
In earlier work [1], we studied an extension of the canonical symplectic structure in the cotangent ...
Noncommutative quantum mechanics on the plane has been widely studied in the literature. Here, we co...
We study the relation between a given set of equations of motion in configuration space and a Poisso...
In this work we examine noncommutativity of position coordinates in classical symplectic mechanics a...
We consider the closed string moving in a weakly curved background and its totally T-dualized backgr...
(29 pages)International audienceWe study Lie-Poisson actions on symplectic manifolds. We show that t...
8 pages.During the last thirty years, symplectic or Marsden--Weinstein reduction has been a major to...
International audienceWe study local normal forms for completely integrable sys-tems on Poisson mani...
We present a covariant canonical formalism for noncommutative (NC) gravity, and in general for NC ge...
Symplectic geometry originated in physics, but it has flourished as an independent subject in mathem...
Using the theory of non-commutative geometry in a braided monoidal category, we improve upon a previ...
Using the theory of non-commutative geometry in a braided monoidal category, we improve upon a previ...
Motivated by the group of Galilean transformations and the subgroup of Galilean transformations whic...
In this paper, we present the results of our investigation relating particle dynamics and non-commut...
We prove that a transformation, conjectured in our previous work, between phase-space variables in $...
In earlier work [1], we studied an extension of the canonical symplectic structure in the cotangent ...
Noncommutative quantum mechanics on the plane has been widely studied in the literature. Here, we co...
We study the relation between a given set of equations of motion in configuration space and a Poisso...
In this work we examine noncommutativity of position coordinates in classical symplectic mechanics a...
We consider the closed string moving in a weakly curved background and its totally T-dualized backgr...
(29 pages)International audienceWe study Lie-Poisson actions on symplectic manifolds. We show that t...
8 pages.During the last thirty years, symplectic or Marsden--Weinstein reduction has been a major to...
International audienceWe study local normal forms for completely integrable sys-tems on Poisson mani...
We present a covariant canonical formalism for noncommutative (NC) gravity, and in general for NC ge...
Symplectic geometry originated in physics, but it has flourished as an independent subject in mathem...
Using the theory of non-commutative geometry in a braided monoidal category, we improve upon a previ...
Using the theory of non-commutative geometry in a braided monoidal category, we improve upon a previ...
Motivated by the group of Galilean transformations and the subgroup of Galilean transformations whic...
In this paper, we present the results of our investigation relating particle dynamics and non-commut...
We prove that a transformation, conjectured in our previous work, between phase-space variables in $...