IJPAM: Volume 106, No. 2 (2016)

NUMERICAL STUDY OF A CHARGED PARTICLE IN
A GENERAL MAGNETIC FIELD

M. Ramírez-Nicolás$^{1,2}$, D. Usero$^{3,2}$, M.P. Velasco$^{4,2}$, L. Vázquez$^{5,2}$
$^1$Universidad Complutense de Madrid
Facultad de Ciencias Físicas
Avda. Complutense s/n, 28040 Madrid, SPAIN
$^2$Instituto de Matemática Interdisciplinar
Avda. Complutense s/n, 28040 Madrid, SPAIN
$^3$Universidad Complutense de Madrid
Facultad de Ciencias Químicas
Avda. Complutense s/n, 28040 Madrid, SPAIN
$^4$Centro Universitario para la Defensa de Zaragoza e
Instituto Universitario de Matemáticas y Aplicaciones
Ctra. Huesca s/n, E-50090, Zaragoza, SPAIN
$^5$Universidad Complutense de Madrid
Facultad de Informática
C/ Prof. José Garcıa Santesmases 9, 28040, Madrid, SPAIN


Abstract. In this work we propose a new numerical scheme to simulate the motion of a nonrelativistic charge in a general magnetic field. The scheme is very accurate in the sense that it shows a discrete analogous of the underlying continuous energy conservation law, as well as an analogous of the angular momentum variation law.

Received: July 22, 201

AMS Subject Classification:

Key Words and Phrases: charged particles, magnetic field, angular momentum

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DOI: 10.12732/ijpam.v106i2.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 2
Pages: 401 - 414


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