Complex Systems

Quantum Fractals Download PDF

Siamak Amir-Azizi
Anthony J. G. Hey
Timothy R. Morris
Department of Electronics and Computer Science,
University of Southampton, Southampton S09 5NH, England


The fractal nature of quantum paths contributing to Feynman path integral formulation of quantum mechanics is investigated. A computer simulation of both one- and two-dimensional quantum harmonic oscillators yields results in agreement with rigorous results on the Hausdorff-Besicovitch dimension for Brownian motion.