Simulation of classical particle trajectories in a complex two-dimensional space

DOI10.1063/1.527133zbMath0593.70001OpenAlexW1983719952MaRDI QIDQ3723744

G. H. Derrick

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527133

zbMATH Keywords

two-dimensional spacevariation principlenonlinear representation of the Poincaré groupclassical massive particle of arbitrary spinClassical particles of arbitrary rest massinternal angular momentum variables

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Applications of Lie groups to the sciences; explicit representations (22E70) Special relativity (83A05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Applications of group representations to physics and other areas of science (20C35) Axiomatics, foundations (70A05)

Cites Work

• Eight-dimensional spinor representation of the Poincaré group
• On a possible geometrical interpretation of gauge trasformations
• On a pointlike relativistic massive and spinning particle
• Field equations in twistors
• Twistor Algebra

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