19 citations · 56 across the 14 of their papers we have counts for
15 papers
Low-Divergence Quasi-Gaussian Emission at Watt-Level Power from a Large-Diameter Ring-Aperture VCSEL
Marta Więckowska, Luke Graham, James Guenter +8
The far-field emission of large-area vertical-cavity surface-emitting lasers (VCSELs) is commonly associated with multimode, high-divergence beam profiles, limiting applicability i…
An example of algebraically general para-Kähler Einstein space
Adam Chudecki, Michał Dobrski
Algebraically general para-Kähler Einstein spaces equipped with 3D algebras of infinitesimal symmetries are considered. It is shown that if the algebra contains 2D trivial subalgeb…
Note on rotational properties of position operators of massless particles
Michal Dobrski
Nonlinear action of the group of spatial rotations on commuting components of a position operator of a massless particle of arbitrary helicity is studied. It is shown that lineariz…
Linear graviton as a quantum particle
Maciej Przanowski, Michał Dobrski, Jaromir Tosiek +1
Wave function of a single linear graviton and its interpretation are proposed. The evolution equation for this function is given. A Hermitian operator with mutually commuting compo…
Construction of a photon position operator with commuting components from natural axioms
Michal Dobrski, Maciej Przanowski, Jaromir Tosiek +1
A general form of the photon position operator with commuting components fulfilling some natural axioms is obtained. This operator commutes with the photon helicity operator, is He…
The geometrical interpretation of the photon position operator
Michal Dobrski, Maciej Przanowski, Jaromir Tosiek +1
It is shown that the photon position operator with commuting components can be written in the momentum representation as , where $\ha…
Formal Series of Generalised Functions and Their Application to Deformation Quantisation
Jaromir Tosiek, Michał Dobrski
Foundations of the formal series -- calculus in deformation quantisation are discussed. Several classes of continuous linear functionals over algebras applied in classical and…
Background independent noncommutative gravity from Fedosov quantization of endomorphism bundle
Michal Dobrski
Model of noncommutative gravity is constructed by means of Fedosov deformation quantization of endomorphism bundle. The fields describing noncommutativity -- symplectic form and sy…
Remarks on generalized Fedosov algebras
Michal Dobrski
The variant of Fedosov construction based on fairly general fiberwise product in the Weyl bundle is studied. We analyze generalized star products of functions, of sections of endom…
Proper conformal symmetries in SD Einstein spaces
Adam Chudecki, Michal Dobrski
Proper conformal symmetries in self-dual (SD) Einstein spaces are considered. It is shown, that such symmetries are admitted only by the Einstein spaces of the type [N]x[N]. Spaces…
Involution in quantized endomorphism bundle and reality of noncommutative gravity actions
Michal Dobrski
It is shown that for arbitrary connection in the vector bundle compatible with some Hermitian metric, the corresponding Fedosov trace functional commutes with involution generated…
On some models of geometric noncommutative general relativity
Michal Dobrski
Using Fedosov theory of deformation quantization of endomorphism bundle we construct several models of pure geometric, deformed vacuum gravity, corresponding to arbitrary symplecti…
Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle
Michal Dobrski
It is shown how Seiberg-Witten equations can be obtained by means of Fedosov deformation quantization of endomorphism bundle and the corresponding theory of equivalences of star pr…
Local differential calculus over Fedosov algebra
Michal Dobrski
In this paper the local differential calculus over Fedosov algebra is constructed using the trivialization isomorphism. The explicit formulas for deformed derivations are given. Th…
Looking for a time independent Hamiltonian of a dynamical system
Michal Dobrski
In this paper we introduce a method for finding a time independent Hamiltonian of a given dynamical system by canonoid transformation. We also find a condition that the system shou…