TY - JOUR

T1 - Comment on "On the consistency of solutions of the space fractional Schödinger equation" [J. Math. Phys. 53, 042105 (2012)]

AU - Hawkins, E.

AU - Schwarz, J. M.

PY - 2013/1/22

Y1 - 2013/1/22

N2 - In Bayin's paper [J. Math. Phys.53, 042105 (2012)]10.1063/1.4705268, he claims to prove the consistency of the purported piece-wise solutions to the fractional Schödinger equation for an infinite square well. However, his calculation uses standard contour integral techniques despite the absence of an analytic integrand. The correct calculation is presented and supports our earlier work proving that the purported piece-wise solutions do not solve the fractional Schödinger equation for an infinite square well [M. Jeng, S.-L.-Y. Xu, E. Hawkins, and J. M. Schwarz, J. Math. Phys.51, 062102 (2010)]10.1063/1.3430552.

AB - In Bayin's paper [J. Math. Phys.53, 042105 (2012)]10.1063/1.4705268, he claims to prove the consistency of the purported piece-wise solutions to the fractional Schödinger equation for an infinite square well. However, his calculation uses standard contour integral techniques despite the absence of an analytic integrand. The correct calculation is presented and supports our earlier work proving that the purported piece-wise solutions do not solve the fractional Schödinger equation for an infinite square well [M. Jeng, S.-L.-Y. Xu, E. Hawkins, and J. M. Schwarz, J. Math. Phys.51, 062102 (2010)]10.1063/1.3430552.

UR - http://www.scopus.com/inward/record.url?scp=84873477650&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873477650&partnerID=8YFLogxK

U2 - 10.1063/1.4772533

DO - 10.1063/1.4772533

M3 - Comment/Debate/Erratum

AN - SCOPUS:84873477650

SN - 0022-2488

VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 1

M1 - 014101

ER -