Inner symmetries of relativistic systems, the Laplace-Runge-Lenz symmetry, and the relativistic centre-of-mass

8th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Ben-Ya'acov, Uri^1

School of Engineering, Kinneret Academic College on the Sea of Galilee, D.N. Emek Ha'Yarden 15132, Israel^1

关键词: Centre of mass;    Internal moments;    Laplace-Runge-Lenz;    Lorentz;    Poincare;    Relativistic systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/437/1/012016/pdf
DOI  :  10.1088/1742-6596/437/1/012016

来源: IOP

【 摘 要 】

The talk concerns the inner symmetries of composite relativistic systems, their (generic) relation with the Laplace-Runge-Lenz (LRL) symmetry and the definition of the relativistic centre-of-mass. Global Lorentz-Poincare´ symmetry implies the existence of LRL symmetry, in a naturally generalized sense, as part of the inner symmetry of these systems, and in a manner which is independent of the internal interaction. The corresponding LRL vectors form the internal moments associated with the Lorentz boost, which, in turn, determines the centre-of-mass.