Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 12, Issue 1, Pages 2-18Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2006.01.001
Keywords
Levy flights; Path integral; Quantum mechanical kernel
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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 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. (C) 2006 Elsevier B. V. All rights reserved.
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