Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Escape to infinity in the presence of magnetic fields

Authors: A. Díaz-Cano and F. González-Gascón
Journal: Quart. Appl. Math. 70 (2012), 45-51
MSC (2010): Primary 78A35; Secondary 34A34
DOI: https://doi.org/10.1090/S0033-569X-2011-01248-4
Published electronically: August 26, 2011
MathSciNet review: 2920614
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Abstract: Escape to infinity is proved to occur when a charge moves under the action of the magnetic field created by a finite number of planar closed wires.

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A. Díaz-Cano
Affiliation: IMI and Departamento de Álgebra, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, E-28040 Madrid, Spain
Email: adiaz@mat.ucm.es

F. González-Gascón
Affiliation: Departamento de Física Teórica II, Facultad de Ciencias Físicas, Universidad Complutense de Madrid, E-28040 Madrid, Spain
Email: fggascon@fis.ucm.es

DOI: https://doi.org/10.1090/S0033-569X-2011-01248-4
Keywords: Escape to infinity, magnetic field, Lorentz equation
Received by editor(s): April 30, 2010
Published electronically: August 26, 2011
Additional Notes: The first author was partially supported by Spanish GAAR MTM2008-00272 and GAAR Grupos UCM 910444
Article copyright: © Copyright 2011 Brown University

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