Geodesic
Asymptotic behavior of the spectrum of mixed states for self-consistent field equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 118-127

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Classical and quantum action-angle variables are determined for the self-consistent Vlasov equations. Examples of their calculation are given. A reduction of the Vlasov equation with respect to a noncommuting set of first integrals that is closed with respect to the Poisson brackets is constructed. A scheme of semiclassical quantization of the reduced equation is outlined. 
@article{TMF_1984_61_1_a10,
     author = {M. V. Karasev},
     title = {Asymptotic behavior of the spectrum of mixed states for self-consistent field equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {118--127},
     publisher = {mathdoc},
     volume = {61},
     number = {1},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a10/}
}
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M. V. Karasev. Asymptotic behavior of the spectrum of mixed states for self-consistent field equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 118-127. http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a10/