On Hamiltonian theory for rotating charge coupled to the Maxwell field

zbMath1321.35223MaRDI QIDQ2517036

Gennadiy Burlak, Valeriĭ M. Imaikin, Anatolij E. Merzon

Publication date: 13 August 2015

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1418919753

zbMATH Keywords

Euler-Lagrange equationsEuler anglesHamiltonian equationsHamilton least action principleMaxwell-Lorentz equationsAbraham's rotating extended electronPoincaré equations on the Lie group \(\mathrm{SO}(3)\)

Mathematics Subject Classification ID

Hamilton's equations (70H05) Maxwell equations (35Q61) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (2)

On the stability of solitons for the Maxwell-Lorentz equations with rotating particle ⋮ On the Hamilton-Poisson structure and solitons for the Maxwell-Lorentz equations with spinning particle

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