The Fractionary Schrödinger Equation, Green Functions and Ultradistributions

Details The Fractionary Schrödinger Equation, Green Functions and Ultradistributions The Fractionary Schrödinger Equation, Green Functions and Ultradistributions

2010-10-25

arxiv.org/abs/1010.5185v1

Physics

Mathematical Physics

32 pages. No figures

Scientific paper

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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