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arxiv: quant-ph/0509090 · v1 · submitted 2005-09-13 · 🪐 quant-ph

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

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keywords flightsstablesymmetricapproachescasecomputingcorrespondingdetermine
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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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