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

Eli Hawkins; J. M. Schwarz

doi:10.1063/1.4772533

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

Eli Hawkins, J. M. Schwarz

Mathematics

Research output: Contribution to journal › Comment/debate › peer-review

Abstract

In Bayin’s study [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 Schrödinger 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 Schrödinger equation for an infinite square well.

Original language	English
Article number	014101
Number of pages	6
Journal	Journal of Mathematical Physics
Volume	54
DOIs	https://doi.org/10.1063/1.4772533
Publication status	Published - 2013

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10.1063/1.4772533

http://jmp.aip.org/resource/1/jmapaq/v54/i1/p014101_s1

Cite this

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title = "Comment on {"}On the consistency of solutions of the space fractional Schr{\"o}dinger equation{"} [J. Math. Phys.53, 042105 (2012)]",

abstract = "In Bayin{\textquoteright}s study [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 Schr{\"o}dinger 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 Schr{\"o}dinger equation for an infinite square well.",

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AU - Hawkins, Eli

AU - Schwarz, J. M.

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N2 - In Bayin’s study [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 Schrödinger 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 Schrödinger equation for an infinite square well.

AB - In Bayin’s study [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 Schrödinger 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 Schrödinger equation for an infinite square well.

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DO - 10.1063/1.4772533

M3 - Comment/debate

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VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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