Quantum and wave scattering from Sierpinsky carpets tesselation

Author

Bondarenko, Anatoly N. ; Katsuk, Andrey V.

Author_Institution

Inst. of Math., Novosibirsk, Russia

fYear

2002

fDate

2002

Firstpage

260

Lastpage

266

Abstract

Two models of the propagation of a disturbance in fractal media have been studied. The first model is based on the Poisson random walk and in a limiting case can be reduced to wave equation. The second model is a modification for a midpoint fractal lattice Feynman´s path integral representation for the 1/2 spin. quantum relativistic propagator. For both of these models the problem of finding the probability of exit of a particle from the half-plane with Sierpinski carpets tesselation and midpoint fractal lattice, respectively, was considered.

Keywords

Dirac equation; Feynman diagrams; Monte Carlo methods; computational geometry; fractals; master equation; probability; random processes; relativistic scattering theory; stochastic processes; Cauchy problem; Dirac equation; Einstein relation; Levy flight; Monte-Carlo method; Poisson random walk; Sierpinsky carpets tesselation; disturbance propagation models; fractal media; half-plane; homogeneous Poisson stochastic process; limiting case; master equation; midpoint lattice Feynman path integral; particle exit probability; relativistic chessboard; relativistic quantum particle; spin quantum relativistic propagator; telegrapher equation; wave equation; Bonding; Fractals; Integral equations; Lattices; Mathematics; Optical scattering; Optical surface waves; Particle scattering; Poisson equations; Radar scattering;

fLanguage

English

Publisher

ieee

Conference_Titel

Science and Technology, 2002. KORUS-2002. Proceedings. The 6th Russian-Korean International Symposium on

Print_ISBN

0-7803-7427-4

Type

conf

DOI

10.1109/KORUS.2002.1028014

Filename

1028014