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Proceedings Paper

Connection of optimum temporal exponents with a principle of least action
Author(s): E. V. Sergeev; A. V. Karzanov; A. V. Tremaskin
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Paper Abstract

The principle of the least action states, that the motion of objects on optimum trajectories conjugates to the underload expenditure of activity. In the canonical approach this statement is reduced to searching extreme activity. For the immediate proof of the underload expenditure of activity on optimum trajectories the relevant mathematical algorithm in the basis of which bottom the concept of optimum time exponents lays is offered. Using this algorithm, various modes of a motion of charged particles are explored: the harmonic motion, a motion in the homogeneous force field, a motion in a central force field and a motion on inertia. The terrain clearance minimum under the rate of flux of activity for the harmonic motions is detected.

Paper Details

Date Published: 5 June 2008
PDF: 10 pages
Proc. SPIE 7121, Eighth Seminar on Problems of Theoretical and Applied Electron and Ion Optics, 712109 (5 June 2008); doi: 10.1117/12.804374
Show Author Affiliations
E. V. Sergeev, Shuya State Pedagogical Univ. (Russia)
A. V. Karzanov, Shuya State Pedagogical Univ. (Russia)
A. V. Tremaskin, Shuya State Pedagogical Univ. (Russia)

Published in SPIE Proceedings Vol. 7121:
Eighth Seminar on Problems of Theoretical and Applied Electron and Ion Optics
Anatoly M. Filachev, Editor(s)

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