Article ID Journal Published Year Pages File Type
767764 Communications in Nonlinear Science and Numerical Simulation 2007 17 Pages PDF
Abstract

An impact of integration over the paths of the Lévy 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 particle 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.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
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