论文信息 - Symmetries in predictive relativistic mechanics

Symmetries in predictive relativistic mechanics

Symmetries of a two‐body relativistic harmonic oscillator and a two‐body relativistic Coulomb system are considered. It is shown that, in the harmonic case, the Lie algebra of first integrals includes Poincare algebra and u(3). In the Coulomb case, the Lie algebra of first integrals includes Poincare algebra and one of the algebras so(1, 3), so(4), or the algebra corresponding to the group of rigid motions in R3. In both cases, the algebra generated by internal symmetry together with the complete space‐time symmetry is infinite dimensional.

P. Nurowski | P. Droz-Vincent

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