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Skew scattering and the Aharonov-Bohm effect. / Milstein, A. I.; Terekhov, I. S.

In: Annals of Physics, Vol. 483, 170263, 12.2025.

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Milstein AI, Terekhov IS. Skew scattering and the Aharonov-Bohm effect. Annals of Physics. 2025 Dec;483:170263. doi: 10.1016/j.aop.2025.170263

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@article{faed69927f49414a92715b33e2800fe0,
title = "Skew scattering and the Aharonov-Bohm effect",
abstract = "The scattering of a nonrelativistic electron on a narrow solenoid of finite length is considered. In this case, the magnetic field outside the solenoid is not zero. Using the eikonal approximation, the differential and total cross sections of the process are found. It is shown that the total cross section is finite, in contrast to the case of scattering on an infinitely long solenoid (Aharonov-Bohm effect). An asymmetry in the scattering cross section is also found, which can be observed in an experiment.",
keywords = "Aharonov-Bohm effect, Eikonal approximation, Regularization",
author = "Milstein, {A. I.} and Terekhov, {I. S.}",
note = "The work of Ivan Terekhov was financially supported by the ITMO Fellowship Program.",
year = "2025",
month = dec,
doi = "10.1016/j.aop.2025.170263",
language = "English",
volume = "483",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Elsevier Science Publishing Company, Inc.",

}

RIS

TY - JOUR

T1 - Skew scattering and the Aharonov-Bohm effect

AU - Milstein, A. I.

AU - Terekhov, I. S.

N1 - The work of Ivan Terekhov was financially supported by the ITMO Fellowship Program.

PY - 2025/12

Y1 - 2025/12

N2 - The scattering of a nonrelativistic electron on a narrow solenoid of finite length is considered. In this case, the magnetic field outside the solenoid is not zero. Using the eikonal approximation, the differential and total cross sections of the process are found. It is shown that the total cross section is finite, in contrast to the case of scattering on an infinitely long solenoid (Aharonov-Bohm effect). An asymmetry in the scattering cross section is also found, which can be observed in an experiment.

AB - The scattering of a nonrelativistic electron on a narrow solenoid of finite length is considered. In this case, the magnetic field outside the solenoid is not zero. Using the eikonal approximation, the differential and total cross sections of the process are found. It is shown that the total cross section is finite, in contrast to the case of scattering on an infinitely long solenoid (Aharonov-Bohm effect). An asymmetry in the scattering cross section is also found, which can be observed in an experiment.

KW - Aharonov-Bohm effect

KW - Eikonal approximation

KW - Regularization

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105018712016&origin=inward

UR - https://www.mendeley.com/catalogue/947bc4fc-2ddc-3bb5-8c71-ef18b316e9e5/

U2 - 10.1016/j.aop.2025.170263

DO - 10.1016/j.aop.2025.170263

M3 - Article

VL - 483

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

M1 - 170263

ER -

ID: 71018829