Canonical realization of the Poincaré algebra for a relativistic system of charged particles plus electromagnetic field. (English) Zbl 0977.78003
Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12-18, 1999. Part 2. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine. Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 30(2), 343-349 (2000).
For a system of \(N\) charged particles plus electromagnetic field a method of reducing the field degrees of freedom by means of canonical constraints is developed. It is shown that, in the first order in the coupling constant expansion, the properties of the Poincaré algebra are preserved after the reduction. The relation between covariant and physical particle variables in the Hamiltonian description is studied.
For the entire collection see [Zbl 0937.00046].
For the entire collection see [Zbl 0937.00046].
Reviewer: A.N.Kochubei (Kyïv)
MSC:
| 78A35 | Motion of charged particles |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
