Relativistic equations of motion within Nambu's formalism of dynamics

DOI10.1006/APHY.2000.6075zbMath0978.78001OpenAlexW2091761382MaRDI QIDQ1592364

Robert M. Yamaleev

Publication date: 13 May 2001

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aphy.2000.6075

zbMATH Keywords

relativistic particleexternal electromagnetic fieldNambu three-order phase space formalism

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Motion of charged particles (78A35) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (4)

Fractional relativistic Yamaleev oscillator model and its dynamical behaviors ⋮ In-phase and anti-phase synchronization in an active Nambu mechanics system ⋮ Generalized Lorentz-force equations ⋮ Fractional Nambu dynamics

Cites Work

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• Dynamical symmetries and Nambu mechanics
• Quaternionic analysis and elliptic boundary value problems
• Generalized Phase Space Formulation of the Hamiltonian Dynamics
• On a pointlike relativistic massive and spinning particle
• On generalized Nambu mechanics
• Generalized Hamiltonian Dynamics

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