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Levy Flights over Quantum Paths

Nick Laskin
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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.

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Nick Laskin. 2005-04-14. Levy Flights over Quantum Paths. https://arxiv.org/abs/quant-ph/0504106

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