About the choice possibility of the optimal motion trajectory of the particle on the basis of the least action principle

P. A. Poljakov; E. V. Sergeev; M. A. Stepovich; A. V. Tremaskin

doi:10.1117/12.693189

31 May 2006 About the choice possibility of the optimal motion trajectory of the particle on the basis of the least action principle

P. A. Poljakov, E. V. Sergeev, M. A. Stepovich, A. V. Tremaskin

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Proceedings Volume 6278, Seventh Seminar on Problems of Theoretical and Applied Electron and Ion Optics; 627807 (2006) https://doi.org/10.1117/12.693189
Event: Seventh Seminar on Problems of Theoretical and Applied Electron and Ion Optics, 2005, Moscow, Russian Federation

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.

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P. A. Poljakov, E. V. Sergeev, M. A. Stepovich, and A. V. Tremaskin "About the choice possibility of the optimal motion trajectory of the particle on the basis of the least action principle", Proc. SPIE 6278, Seventh Seminar on Problems of Theoretical and Applied Electron and Ion Optics, 627807 (31 May 2006); https://doi.org/10.1117/12.693189

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