1203.4556 (Selcuk S. Bayin)

On the Consistency of the Solutions of the Space Fractional
Schrödinger Equation    [PDF]

Selcuk S. Bayin

Recently it was pointed out that the solutions found in literature for the space fractional Schr\"odinger 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 Schr\"odinger equation in general coordinates in terms of Fox's H-functions.

View original: http://arxiv.org/abs/1203.4556