4 papers
Chaotic and Regular Motion in Dissipative Gravitational Billiards
A. Z. Gorski, T. Srokowski
We consider the motion of a particle subjected to the constant gravitational field and scattered inelasticaly by hard boundaries which possess the shape of parabola, wedge, and hyp…
On application of fractal analysis to cranial sutures
Andrzej Z. Gorski, Janusz Skrzat
Fractal exponents () for human cranial sutures are calculated using the box counting method. The results were found around (within the range ), supporting the…
Representations of the Heisenberg algebra by difference operators
Andrzej Z. Gorski, Jacek Szmigielski
We construct a class of representations of the Heisenberg algebra in terms of the complex shift operators subject to the proper continuous limit imposed by the correspondence princ…
Comment on fractality of quantum mechanical energy spectra
Andrzej Z. Gorski
The fractal properties of the energy spectra of quantum systems are discussed in connection with the paper by Sáiz and Martínez [Phys. Rev. E 54, 2431 (1996)]. It is shown that for…