Analytical mechanics representations of a moving charged particle in a magnetic field with radiation friction | Zendy

Ding Guang-Tao | Zendy

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Analytical mechanics representations of a moving charged particle in a magnetic field with radiation friction

Author(s) -

Ding Guang-Tao

Publication year - 2012

Publication title -

acta physica sinica

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.

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