Wong's equations in Poisson geometry
Maspfuhl, Oliver
J. Symplectic Geom., Tome 2 (2004) no. 2, p. 545-578 / Harvested from Project Euclid
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We show that the Hamiltonian systems on Sternberg-Wein- stein phase spaces which yield Wong’s equations of motion for a classical particle in a gravitational and a Yang-Mills field, naturally arise as the first order approximation of generic Hamiltonian systems on Poisson manifolds at a critical La- grangian submanifold. We further define a second order ap- proximated system involving scalar fields which first appeared in Einstein-Mayer theory. Reduction and symplectic realiza- tion of this system are interpreted in terms of dimensional reduction and Kaluza-Klein theory.
Publié le : 2004-12-14
Classification:  53D17,  70G45,  70H05,  70S15 
@article{1144070629,
     author = {Maspfuhl, Oliver},
     title = {Wong's equations in Poisson geometry},
     journal = {J. Symplectic Geom.},
     volume = {2},
     number = {2},
     year = {2004},
     pages = { 545-578},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1144070629}
}

Maspfuhl, Oliver. Wong's equations in Poisson geometry. J. Symplectic Geom., Tome 2 (2004) no. 2, pp.  545-578. http://gdmltest.u-ga.fr/item/1144070629/