9 citations · 23 across the 7 of their papers we have counts for
7 papers
On regularizations of the integral representation of Dirac delta function -- elementary approach
Grzegorz M. Koczan, Piotr Stachura
The article presents, in an elementary way, but with mathematical precision and without harm to the intuition, the path from the integral representation to the Dirac delta, startin…
The photon position operator (non-commuting) and its string-like eigenstates
Grzegorz M. Koczan
The paper provides three main definitions of the Cartesian photon position operator based on: boost generator, the transversality condition and the helicity operator. In each case,…
Relative binary and ternary 4D velocities in the Special Relativity in terms of manifestly covariant Lorentz transformation
Grzegorz M. Koczan
Zbigniew Oziewicz was a pioneer of the 4D space-time approach to covariant relative velocities. In the 1980s (according to private correspondence) he discovered two types of 4D rel…
Relativistic relative velocities and relativistic acceleration
Grzegorz M. Koczan
It turns out that the standard application of the four-vector SR formalism does not include the concept of relative velocity. Only the absolute velocity is described by the four-ve…
Research on rolling friction's dependence on ball bearings' radius
Grzegorz M. Koczan, Juliusz Ziomek
There are two alternative historical laws of rolling resistance formulated by French scientist Coulomb and Dupuit. It has been decided to verify experimentally again, which of thes…
Unified anisotropic strength criterion rank two for fibrous materials like wood
Grzegorz Koczan, Paweł Kozakiewicz
Wood is a fibrous orthotropic material additionally characterized with sign-sensitivity. Thus, determining the universal conditions of its strength constitutes a complex task. In t…
Defining of three-dimensional acceleration and inertial mass leading to the simple form F=MA of relativistic motion equation
Grzegorz M. Koczan
Newton second law of dynamics is a law of motion but also a useful definition of force (F=MA) or inertial mass (M=F/A), assuming a definition of acceleration and parallelism of for…