Continuous-time random walk as a guide to fractional Schrödinger equation

DOI10.1063/1.3491333zbMath1309.81078OpenAlexW2026414578MaRDI QIDQ5245770

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Publication date: 15 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f03cf1b1cc2ae2859ee3a4ad2d97451fe989ba48

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Reaction-diffusion equations (35K57) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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• On the nonlocality of the fractional Schrödinger equation
• Applications of continuity and discontinuity of a fractional derivative of the wave functions to fractional quantum mechanics
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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