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Charged Particle in an Electromagnetic Field Using Variational Integrators
Author(s) -
Odysseas Kosmas,
Theodore E. Simos,
George Psihoyios,
Ch. Tsitouras,
Zacharias Anastassi
Publication year - 2011
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.177
H-Index - 75
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.3636989
Subject(s) - variational integrator , integrator , lagrangian , electromagnetic field , charged particle , classical mechanics , physics , work (physics) , field (mathematics) , particle (ecology) , computer science , mathematics , theoretical physics , quantum mechanics , voltage , ion , oceanography , pure mathematics , geology
In the present work we extend the discrete Lagrangian integrator method presented in Ref. [1] to derive appropriate numerical maps for the solution of mechanical problems in which the potential energy depends on the velocity of the system. As a representative concrete example and simulated experiment of the method presented here, we examine the motion of a charged particle moving in an electromagnetic field.

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