6 citations · 6 across the 5 of their papers we have counts for
5 papers
The simple complex numbers
Jaroslaw Zalesny
A new simple geometrical interpretation of complex numbers is presented. It differs from their usual interpretation as points in the complex plane. From the new point of view the c…
Stationary Solutions of the Electromagnetic TE Waves Propagating along a Single Interface between the Two Kerr-Type Nonlinear Media
Marian Wabia, Jaroslaw Zalesny
Propagation of the TE electromagnetic waves in self-focusing medium is governed by the nonlinear Schroedinger equation. In this paper the stationary solutions of this equation have…
Time Evolution of SU(1,1) coherent states
Jaroslaw Zalesny
Mathematical aspects of the SU(1,1) group parameter x dynamics governed by Hamiltonians exhibiting some special types of time dependence has been presented on an elementary level f…
Propagation of photons in resting and moving media
Jaroslaw Zalesny
The propagation of photon in a dielectric may be described with the help of the scalar and vector potentials of the medium. The main novelty of the paper is that the concept of the…
Optical Kerr type nonlinearity
Jaroslaw Zalesny
The origin of the Kerr type nonlinearity of the medium as a result of the interaction between photons via the Dirac delta-potential is presented in the formalism adopted from the p…