Relativistic motion in a constant electromagnetic field

DOI10.1063/1.3064796zbMath1189.78008arXiv0809.0859OpenAlexW2071422708MaRDI QIDQ3650864

Siu A. Chin

Publication date: 7 December 2009

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

Full work available at URL: https://arxiv.org/abs/0809.0859

zbMATH Keywords

Lie algebraselectromagnetic fieldsoperator evolution equationSU(2) theoryfactorization of the real evolution operator into two commuting complex evolution operators

Mathematics Subject Classification ID

Electromagnetic fields in general relativity and gravitational theory (83C50) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Clifford algebras, spinors (15A66) Motion of charged particles (78A35)

Related Items (1)

Solution of the problem of charge motion in crossed electric and magnetic fields

Cites Work

• Recent progress in the theory and application of symplectic integrators
• Fourth-order symplectic integration
• Exponentiation of the spinor representation of the Lorentz group
• Relativistic dynamics of charges in external fields: the Pauli algebra approach
• Lie series and invariant functions for analytic symplectic maps
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
• A THOUGHTFUL STUDY OF LORENTZ TRANSFORMATIONS BY CLIFFORD ALGEBRAS
• Group-theoretical analysis of elementary particles in an external electromagnetic field
• Orbits of Charged Particles in Constant Fields

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