Geodesic
Cauchy problem for the quantum Liouville equation coupled with Poisson equation
Matematičeskoe modelirovanie, Tome 6 (1994) no. 3, pp. 114-118.

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Existence and uniqueness of the weak solution of the quantum Liouville equation coupled with Poisson equation is proved. Representation of solution as a mathematical expectance of the trajectories of the random process is received. 
@article{MM_1994_6_3_a9,
     author = {M. N. Burtseva},
     title = {Cauchy problem for the quantum {Liouville} equation coupled with {Poisson} equation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {114--118},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1994_6_3_a9/}
}
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M. N. Burtseva. Cauchy problem for the quantum Liouville equation coupled with Poisson equation. Matematičeskoe modelirovanie, Tome 6 (1994) no. 3, pp. 114-118. http://geodesic.mathdoc.fr/item/MM_1994_6_3_a9/