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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 0 | Source: arXiv Dataset IDs (Model)

The Symmetric Stable L\'{e}vy Flights and the Feynman Path Integral

Authors	Agapitos Hatzinikitas
Categories	quant-ph
ArXiv ID	quant-ph/0509090
URL	https://arxiv.org/abs/quant-ph/0509090

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 L\'{e}vy flights.

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    "abstract": "We determine the solution of the fractional spatial diffusion equation in\nn-dimensional Euclidean space for a \"free\" particle by computing the\ncorresponding propagator. We employ both the Hamiltonian and Lagrangian\napproaches which produce exact results for the case of jumps governed by\nsymmetric stable L\\\u0027{e}vy flights.",
    "arxiv_id": "quant-ph/0509090",
    "authors": [
      "Agapitos Hatzinikitas"
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    "title": "The Symmetric Stable L\\\u0027{e}vy Flights and the Feynman Path Integral",
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