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A shadow of the repulsive Rutherford scattering and Hamilton vector. / Shatilov, D. A.; Silagadze, Z. K.

In: European Journal of Physics, Vol. 42, No. 3, 035001, 05.2021.

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Shatilov DA, Silagadze ZK. A shadow of the repulsive Rutherford scattering and Hamilton vector. European Journal of Physics. 2021 May;42(3):035001. doi: 10.1088/1361-6404/abd98b

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Shatilov, D. A. ; Silagadze, Z. K. / A shadow of the repulsive Rutherford scattering and Hamilton vector. In: European Journal of Physics. 2021 ; Vol. 42, No. 3.

BibTeX

@article{f8bddb48f1d743908c3147a29b58354c,
title = "A shadow of the repulsive Rutherford scattering and Hamilton vector",
abstract = "The fact that repulsive Rutherford scattering casts a paraboloidal shadow is rarely exploited in introductory mechanics textbooks. Another rarely used construction in such textbooks is the Hamilton vector, a cousin of the more famous Laplace-Runge-Lenz vector. We will show how the latter (Hamilton's vector) can be used to explain and clarify the former (paraboloidal shadow).",
keywords = "classical mechanics, Hamilton vector, Rutherford scattering",
author = "Shatilov, {D. A.} and Silagadze, {Z. K.}",
note = "Publisher Copyright: {\textcopyright} 2021 European Physical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = may,
doi = "10.1088/1361-6404/abd98b",
language = "English",
volume = "42",
journal = "European Journal of Physics",
issn = "0143-0807",
publisher = "IOP Publishing Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - A shadow of the repulsive Rutherford scattering and Hamilton vector

AU - Shatilov, D. A.

AU - Silagadze, Z. K.

N1 - Publisher Copyright: © 2021 European Physical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/5

Y1 - 2021/5

N2 - The fact that repulsive Rutherford scattering casts a paraboloidal shadow is rarely exploited in introductory mechanics textbooks. Another rarely used construction in such textbooks is the Hamilton vector, a cousin of the more famous Laplace-Runge-Lenz vector. We will show how the latter (Hamilton's vector) can be used to explain and clarify the former (paraboloidal shadow).

AB - The fact that repulsive Rutherford scattering casts a paraboloidal shadow is rarely exploited in introductory mechanics textbooks. Another rarely used construction in such textbooks is the Hamilton vector, a cousin of the more famous Laplace-Runge-Lenz vector. We will show how the latter (Hamilton's vector) can be used to explain and clarify the former (paraboloidal shadow).

KW - classical mechanics

KW - Hamilton vector

KW - Rutherford scattering

UR - http://www.scopus.com/inward/record.url?scp=85102174751&partnerID=8YFLogxK

U2 - 10.1088/1361-6404/abd98b

DO - 10.1088/1361-6404/abd98b

M3 - Article

AN - SCOPUS:85102174751

VL - 42

JO - European Journal of Physics

JF - European Journal of Physics

SN - 0143-0807

IS - 3

M1 - 035001

ER -

ID: 28088919