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Methods of geometrical integration in accelerator physics. / Andrianov, S. N.

In: Physics of Particles and Nuclei Letters, Vol. 13, No. 7, 12.2016, p. 780-783.

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Andrianov, SN 2016, 'Methods of geometrical integration in accelerator physics', Physics of Particles and Nuclei Letters, vol. 13, no. 7, pp. 780-783. https://doi.org/10.1134/S1547477116070062

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Author

Andrianov, S. N. / Methods of geometrical integration in accelerator physics. In: Physics of Particles and Nuclei Letters. 2016 ; Vol. 13, No. 7. pp. 780-783.

BibTeX

@article{38224db248c44e77b80e339ef9614294,
title = "Methods of geometrical integration in accelerator physics",
abstract = "In the paper we consider a method of geometric integration for a long evolution of the particle beam in cyclic accelerators, based on the matrix representation of the operator of particles evolution. This method allows us to calculate the corresponding beam evolution in terms of two-dimensional matrices including for nonlinear effects. The ideology of the geometric integration introduces in appropriate computational algorithms amendments which are necessary for preserving the qualitative properties of maps presented in the form of the truncated series generated by the operator of evolution. This formalism extends both on polarized and intense beams. Examples of practical applications are described.",
keywords = "geometric integration, particle beam, accelerator, computational algorithms, preserving the qualitative properties",
author = "Andrianov, {S. N.}",
year = "2016",
month = dec,
doi = "10.1134/S1547477116070062",
language = "English",
volume = "13",
pages = "780--783",
journal = "Physics of Particles and Nuclei Letters",
issn = "1547-4771",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "7",

}

RIS

TY - JOUR

T1 - Methods of geometrical integration in accelerator physics

AU - Andrianov, S. N.

PY - 2016/12

Y1 - 2016/12

N2 - In the paper we consider a method of geometric integration for a long evolution of the particle beam in cyclic accelerators, based on the matrix representation of the operator of particles evolution. This method allows us to calculate the corresponding beam evolution in terms of two-dimensional matrices including for nonlinear effects. The ideology of the geometric integration introduces in appropriate computational algorithms amendments which are necessary for preserving the qualitative properties of maps presented in the form of the truncated series generated by the operator of evolution. This formalism extends both on polarized and intense beams. Examples of practical applications are described.

AB - In the paper we consider a method of geometric integration for a long evolution of the particle beam in cyclic accelerators, based on the matrix representation of the operator of particles evolution. This method allows us to calculate the corresponding beam evolution in terms of two-dimensional matrices including for nonlinear effects. The ideology of the geometric integration introduces in appropriate computational algorithms amendments which are necessary for preserving the qualitative properties of maps presented in the form of the truncated series generated by the operator of evolution. This formalism extends both on polarized and intense beams. Examples of practical applications are described.

KW - geometric integration

KW - particle beam

KW - accelerator

KW - computational algorithms

KW - preserving the qualitative properties

U2 - 10.1134/S1547477116070062

DO - 10.1134/S1547477116070062

M3 - Article

VL - 13

SP - 780

EP - 783

JO - Physics of Particles and Nuclei Letters

JF - Physics of Particles and Nuclei Letters

SN - 1547-4771

IS - 7

ER -

ID: 7549654