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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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/

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