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arXiv · 1203.4556

On the Consistency of the Solutions of the Space Fractional Schrödinger Equation

Selcuk S. Bayin
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Abstract

Recently it was pointed out that the solutions found in literature for the space fractional Schrödinger equation in a piecewise manner are wrong, except the case with the delta potential. We reanalyze this problem and show that an exact and a proper treatment of the relevant integral proves otherwise. We also discuss effective potential approach and present a free particle solution for the space and time fractional Schrödinger equation in general coordinates in terms of Fox's H-functions.

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Selcuk S. Bayin. 2012-03-19. On the Consistency of the Solutions of the Space Fractional Schrödinger Equation. https://doi.org/10.1063/1.4705268

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