The Symmetric Stable Lévy Flights and the Feynman Path Integral

Details The Symmetric Stable Lévy Flights and the Feynman Path Integral The Symmetric Stable Lévy Flights and the Feynman Path Integral

2005-09-13

arxiv.org/abs/quant-ph/0509090v1

Physics

Quantum Physics

15 pages

Scientific paper

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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