Open AccessAnalytical mechanics representations of a moving charged particle in a magnetic field with radiation friction
Author(s) -
Ding Guang-Tao
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.020204
Subject(s) - classical mechanics , physics , lagrangian mechanics , charged particle , lagrangian , motion (physics) , analytical mechanics , equations of motion , magnetic field , particle (ecology) , fluid mechanics , magnetosphere particle motion , mechanics , space (punctuation) , differential equation , quantum mechanics , mathematical physics , quantum statistical mechanics , computer science , ion , oceanography , quantum , geology , operating system
The anatylical mechanics representations of a charged particle moving in a uniform magnetic field with radiation friction are studied. First, by solving the inverse problem of Birkhoffian mechanics for the differential equations of motion the 4 Birkhoffian representations of the charged particle are obtained. Secondly, 4 Lagrangian representations in the state space and 4 Lagrangian representations in the configuration space are derived, and then 4 Hamiltonians are constructed. Lastly, 4 first integrals are obtained from the analytical mechanics representations of the moving particle, and the solutions of the equations of motion are presented.