DIRAC OBSERVABLES AND SPIN BASES FOR N RELATIVISTIC-PARTICLES

Citation
A. Lucenti et al., DIRAC OBSERVABLES AND SPIN BASES FOR N RELATIVISTIC-PARTICLES, Journal of physics. A, mathematical and general, 31(6), 1998, pp. 1633-1656
Citations number
43
Categorie Soggetti
Physics,"Physycs, Mathematical
ISSN journal
03054470
Volume
31
Issue
6
Year of publication
1998
Pages
1633 - 1656
Database
ISI
SICI code
0305-4470(1998)31:6<1633:DOASBF>2.0.ZU;2-1
Abstract
The construction of the Dirac observables in the P-2 > 0 stratum for a system of N relativistic free particles is carried out on the basis o f a quasi-Shanmugadhasan canonical transformation related to the exist ence of a Poincare group action. The explicit form of the Dirac observ ables is derived by exploiting an internal Euclidean group having the Poincare canonical spin as generator of rotations. This procedure prov ides the symplectic version of the conventional angular momentum compo sition.