Geodesic
Collective coordinates on symplectic manifolds
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 1, pp. 34-43

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Collective coordinates are introduced on a symplectic manifold for an arbitrary Lie group of canonical transformations. These collective coordinates describe the motion of a dynamical system as a whole under the influence of transformations of the group. 
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     author = {A. V. Razumov and A. Yu. Taranov},
     title = {Collective coordinates on symplectic manifolds},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {34--43},
     publisher = {mathdoc},
     volume = {52},
     number = {1},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_1_a3/}
}
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A. V. Razumov; A. Yu. Taranov. Collective coordinates on symplectic manifolds. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 1, pp. 34-43. http://geodesic.mathdoc.fr/item/TMF_1982_52_1_a3/