The Symmetric Stable Lévy Flights and the Feynman Path Integral
Abstract
Description
We determine the solution of the fractional spatial diffusion equation in n-dimensional Euclidean space for a "free" particle by computing the corresponding propagator. We employ both the Hamiltonian and Lagrangian approaches which produce exact results for the case of jumps governed by symmetric stable Lévy flights.
15 pages
15 pages