Open Access
2014 On Hamiltonian Theory for Rotating Charge Coupled to the Maxwell Field
G. Burlak, V. Imaykin, A. Merzon
Commun. Math. Anal. 17(2): 24-33 (2014).
Abstract

It is known that the Maxwell-Lorentz equations with Abraham’s rotating extended electron can be derived from the the Hamilton least action principle applying the variational Poincaré equations on the Lie group SO(3). We prove that, rewritten in the Euler angles, these equations imply the standard Euler-Lagrange and Hamiltonian equations.

Burlak, Imaykin, and Merzon: On Hamiltonian Theory for Rotating Charge Coupled to the Maxwell Field
Copyright © 2014 Mathematical Research Publishers
G. Burlak, V. Imaykin, and A. Merzon "On Hamiltonian Theory for Rotating Charge Coupled to the Maxwell Field," Communications in Mathematical Analysis 17(2), 24-33, (2014). https://doi.org/
Published: 2014
Vol.17 • No. 2 • 2014
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