A shadow of the repulsive Rutherford scattering and Hamilton vector

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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.

Research output: Contribution to journal › Article › peer-review

Harvard

Shatilov, DA & Silagadze, ZK 2021, 'A shadow of the repulsive Rutherford scattering and Hamilton vector', European Journal of Physics, vol. 42, no. 3, 035001. https://doi.org/10.1088/1361-6404/abd98b

APA

Shatilov, D. A., & Silagadze, Z. K. (2021). A shadow of the repulsive Rutherford scattering and Hamilton vector. European Journal of Physics, 42(3), [035001]. https://doi.org/10.1088/1361-6404/abd98b

Vancouver

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

Author

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.}",

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.

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