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Proceedings Paper

About the choice possibility of the optimal motion trajectory of the particle on the basis of the least action principle
Author(s): P. A. Poljakov; E. V. Sergeev; M. A. Stepovich; A. V. Tremaskin
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Paper Abstract

One of the most common methods of a choice of a movement trajectory of a particle from a set of trial short on scale is the approach of Hamilton - Lagrange, and also the principle of least action (PLA) connected to it [l, 2). Up to now PLA frequently had only theoretical value and practically it was not used for the solution of applied problems. A classical problem of electron optics is calculation of a mechanical trajectory of a charged particle in the given force field. In this work the PLA is used for the solution of this problem.

Paper Details

Date Published: 31 May 2006
PDF: 6 pages
Proc. SPIE 6278, Seventh Seminar on Problems of Theoretical and Applied Electron and Ion Optics, 627807 (31 May 2006); doi: 10.1117/12.693189
Show Author Affiliations
P. A. Poljakov, M.V. Lomonosov Moscow State Univ. (Russia)
E. V. Sergeev, Shuya State Pedagogical Univ. (Russia)
M. A. Stepovich, Shuya State Pedagogical Univ. (Russia)
Tsiolkovsky Kaluga State Pedagogical Univ. (Russia)
A. V. Tremaskin, Shuya State Pedagogical Univ. (Russia)

Published in SPIE Proceedings Vol. 6278:
Seventh Seminar on Problems of Theoretical and Applied Electron and Ion Optics
Anatoly M. Filachev, Editor(s)

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