### Abstract

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.

Original language | English (US) |
---|---|

Article number | 014101 |

Journal | Journal of Mathematical Physics |

Volume | 54 |

Issue number | 1 |

DOIs | |

State | Published - Jan 22 2013 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

**Comment on "On the consistency of solutions of the space fractional Schödinger equation" [J. Math. Phys. 53, 042105 (2012)].** / Hawkins, E.; Schwarz, Jennifer M.

Research output: Contribution to journal › Article

}

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, Jennifer 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 - Article

AN - SCOPUS:84873477650

VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

M1 - 014101

ER -