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The Symmetric Stable Lévy Flights and the Feynman Path Integral

Agapitos Hatzinikitas
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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 Lévy flights.

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Agapitos Hatzinikitas. 2005-09-13. The Symmetric Stable Lévy Flights and the Feynman Path Integral. https://arxiv.org/abs/quant-ph/0509090

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