Geodesic
An Averaging Method for the Quantum Many-Body Problem
Funkcionalʹnyj analiz i ego priloženiâ, Tome 33 (1999) no. 4, pp. 50-64

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A new averaging formula for many-particle Schrödinger operators permits one to apply the method of nonstandard characteristics provided that the mean number of particles is a large parameter. For the characteristic equation, which generalizes the corresponding Cooper–Bardeen–Schrieffer–Bogolyubov equation, a Lax pair is written out. 
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     author = {V. P. Maslov},
     title = {An {Averaging} {Method} for the {Quantum} {Many-Body} {Problem}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {50--64},
     publisher = {mathdoc},
     volume = {33},
     number = {4},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1999_33_4_a3/}
}
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V. P. Maslov. An Averaging Method for the Quantum Many-Body Problem. Funkcionalʹnyj analiz i ego priloženiâ, Tome 33 (1999) no. 4, pp. 50-64. http://geodesic.mathdoc.fr/item/FAA_1999_33_4_a3/