On the Consistency of the Solutions of the Space Fractional Schrödinger Equation
arXiv:1203.4556 · doi:10.1063/1.4705268
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 (4)
Cited by in corpus (17)
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