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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…