The Fractionary Schr\"{o}dinger Equation, Green Functions and Ultradistributions
classification
🧮 math-ph
hep-thmath.MPquant-ph
keywords
dingerequationfractionarygreenschrtheoryultradistributionsarbitrary
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In this work, we generalize previous results about the Fractionary Schr\"{o}dinger Equation within the formalism of the theory of Tempered Ultradistributions. Several examples of the use of this theory are given. In particular we evaluate the Green's function for a free particle in the general case, for an arbitrary order of the derivative index.
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