54 citations · 302 across the 36 of their papers we have counts for
8 papers · 1 filter
On some properties of number-phase Wigner function
Maciej Przanowski, Przemyslaw Brzykcy
It is shown that the number-phase Wigner function defines uniquely the respective density operator. Relations between the Glauber-Sudarshan distribution and the nu…
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…
Generalized Weyl quantization on the cylinder and quantum phase
Maciej Przanowski, Przemysław Brzykcy
Generalized Weyl quantization formalism for the cylindrical phase space is developed. It is shown that the quantum observables relevant to the phase of li…
-SDYM fields and heavenly spaces: II. Reductions of the -SDYM system
Sebastian Formanski, Maciej Przanowski
Reductions of self-dual Yang-Mills (SDYM) system for -bracket Lie algebra to the Husain-Park (HP) heavenly equation and to $sl(N,{\boldmath{$C$})$ SDYM equation are given. An…
-SDYM Fields and Heavenly Spaces. I. -SDYM equations as an integrable system
Sebastian Formanski, Maciej Przanowski
It is shown that the self-dual Yang-Mills (SDYM) equations for the -bracket Lie algebra on a heavenly space can be reduced to one equation (the \it master equation\rm). Two h…
Linear Hilbertian manifold domains
M. Przanowski, M. Skulimowski
Necessary and sufficient conditions for a dense subspace of a Hilbert space to be a linear Hilbertian manifold domain are given. Some relations between linear Hilbertian manifold d…