Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-23T14:52:55.663Z Has data issue: false hasContentIssue false
  • English
  • Français

Forced motion of a charged particle in a magnetic field

Published online by Cambridge University Press:  09 April 2009

L. J. Gleeson
L. J. Gleeson
Affiliation:
Monash UniversityVictoria
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We consider the motion of a particle of mass m and electrical charge e, moving in a constant magnetic field Bk, where k is a unit vector, and acted upon by a force mf(t). The position vector r(t) of this particle is governed by the differential equation where .

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 4 , November 1966 , pp. 385 - 398
Copyright
Copyright © Australian Mathematical Society 1966

References

[1]Alfvén, H., Cosmical Electrodynamics, Oxford (1950), 12–19.Google Scholar
[2]Alfvén, Hannes and Fälthammar, , Carl-Gunne, , Cosmical Electrodynamics, 2 Ed.Oxford (1963), 18–26.Google Scholar
[3]Berry, C. E., ‘Ion trajectories in the Omegatron’, J. App. Phys. 25 (1954), 28–31.CrossRefGoogle Scholar
[4]Chandrasekhar, S., Plasma Physics, Phoenix (1962), 20–21.Google Scholar
[5]Hipple, J. A., Sommer, H. and Thomas, H. A., ‘A precise method of determining the Faraday by magnetic resonance’, Phys. Rev. 76 (1949), 1877–1878.CrossRefGoogle Scholar
[6]Thompson, W. B., Plasma Physics, Addison-Wesley (1962), 153–154.Google Scholar
[7]Westfold, K. C., ‘The solution of linear differential equations containing gyroscop terms’, Amer. Math. Monthly 64 (1957), 174–180.CrossRefGoogle Scholar