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.
In: Journal of Mathematical Physics, Vol. 54, No. 1, 014101, 22.01.2013.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.
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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 -