The fractionary Schrödinger equation, Green functions and ultradistributions

A.L. De Paoli and M.C. Rocca

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 1, 111-122

Abstract: In this work, we generalize previous results about the Fractionary Schrödinger 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 function for a free particle in the general case, for an arbitrary order of the derivative index.

Keywords: Fractional calculus; Ultradistributions; Fractional Schrödinger equation (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:1:p:111-122

DOI: 10.1016/j.physa.2012.08.017

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