The Symmetric Stable L\'{e}vy Flights and the Feynman Path Integral
Quantum Physics
2007-05-23 v1
Abstract
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 L\'{e}vy flights.
Cite
@article{arxiv.quant-ph/0509090,
title = {The Symmetric Stable L\'{e}vy Flights and the Feynman Path Integral},
author = {Agapitos Hatzinikitas},
journal= {arXiv preprint arXiv:quant-ph/0509090},
year = {2007}
}
Comments
15 pages