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

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.

References in corpus (1)

• Fractional Quantum Mechanics

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