1 citations · 1 across the 2 of their papers we have counts for
7 papers
The Fedosov *-product in Mathematica
Jaromir Tosiek
The computer program `Fecom.nb' implementing the Fedosov *-product in Darboux coordinates is presented. It has been written in Mathematica 6.0 but it can be easily modified to be r…
Abelian connection in Fedosov deformation quantization. I. The 2-dimensional phase space
Jaromir Tosiek
General properties of an Abelian connection in Fedosov deformation quantization are investigated. Definition and criterion of being a finite formal series for an Abelian connection…
Anyons, group theory and planar physics
J. Negro, M. A. del Olmo, J. Tosiek
Relativistic and nonrelativistic anyons are described in a unified formalism by means of the coadjoint orbits of the symmetry groups in the free case as well as when there is an in…
The Weyl bundle as a differentiable manifold
Jaromir Tosiek
Construction of an infinite dimensional differentiable manifold not modelled on any Banach space is proposed. Definition, metric and differential structures…
Geometrical origin of the *-product in the Fedosov formalism
M. Gadella, M. A. del Olmo, J. Tosiek
The construction of the *-product proposed by Fedosov is implemented in terms of the theory of fibre bundles. The geometrical origin of the Weyl algebra and the Weyl bundle is show…
Quantization on a 2-dimensional phase space with a constant curvature tensor
M. Gadella, M. A. del Olmo, J. Tosiek
Some properties of the star product of the Weyl type (i.e. associated with the Weyl ordering) are proved. Fedosov construction of the *-product on a 2-dimensional phase spacewith a…