20 citations · 138 across the 23 of their papers we have counts for
8 papers · 1 filter
From the Weyl quantization of a particle on the circle to number-phase Wigner functions
Maciej Przanowski, Przemyslaw Brzykcy, Jaromir Tosiek
A generalized Weyl quantization formalism for a particle on the circle investigated in \cite{1} is developed. A Wigner function for the state and the kernel $\mathc…
States in the Hilbert space formulation and the phase space formulation of quantum mechanics
J. Tosiek, P. Brzykcy
W consider the problem of testing if a given matrix in the Hilbert space formulation of quantum mechanics or a function in the phase space formulation of quantum theory represent a…
Eigenvalue equation for a 1--D Hamilton function in deformation quantization
Jaromir Tosiek
The eigenvalue equation has been found for a Hamilton function in a form independent of the choice of a potential. This paper proposes a modified Fedosov construction on a flat sym…
The Fedosov deformation quantization for some induced symplectic connection
Jaromir Tosiek
The Fedosov deformation quantization on a cotangent bundle with a symplectic connection induced by some linear symmetric connection on the base space is considered. A global constr…
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…