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math-ph2017
Back to epicycles - relativistic Coulomb systems in velocity space
Uri Ben-Ya'acov
The study of relativistic Coulomb systems in velocity space is prompted by the fact that the study of Newtonian Kepler/Coulomb systems in velocity space, although less familiar tha…
math-ph2010★ 1 cited
Centre-of-mass and internal symmetries in classical relativistic systems
Uri Ben-Ya'acov
The internal symmetry of composite relativistic systems is discussed. It is demonstrated that Lorentz-Poincaré symmetry implies the existence of internal moments associated with th…
math-ph2010★ 16 cited
Laplace-Runge-Lenz symmetry in general rotationally symmetric systems
Uri Ben-Ya'acov
The universality of the Laplace-Runge-Lenz symmetry in all rotationally symmetric systems is discussed. The independence of the symmetry on the type of interaction is proven using…