Levy Flights over Quantum Paths
Quantum Physics
2007-05-23 v1
Abstract
An impact of integration over the paths of the Levy flights on the quantum mechanical kernel has been studied. Analytical expression for a free particle kernel has been obtained in terms of the Fox H-function. A new equation for the kernel of a partical in the box has been found. New general results include the well known quantum formulae for a free particle kernel and particle in box kernel.
Cite
@article{arxiv.quant-ph/0504106,
title = {Levy Flights over Quantum Paths},
author = {Nick Laskin},
journal= {arXiv preprint arXiv:quant-ph/0504106},
year = {2007}
}
Comments
30 pages, 1 figure