Geodesic
An Averaging Method for the Quantum Many-Body Problem
Funkcionalʹnyj analiz i ego priloženiâ, Tome 33 (1999) no. 4, pp. 50-64 Cet article a éte moissonné depuis la source Math-Net.Ru

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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}},
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     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/

[1] Bogolyubov N. N., Izbrannye trudy, T. 3, Naukova dumka, Kiev, 1971 | MR

[2] Berezin F. A., Metod vtorichnogo kvantovaniya, Nauka, M., 1965 | MR

[3] Maslov V. P., “Quasi-particles associated with isoenergetic manifolds corresponding to classical self-consistent fields, X”, Russian J. Math. Phys., 5:2 (1997), 273–278 | MR | Zbl

[4] Maslov V. P., “Deterministic quantum chaos for systems of bosons and fermions”, Russian J. Math. Phys., 5:4 (1996), 473–488 | MR

[5] Maslov V. P., “Quasi-particles associated with Lagrangian manifolds corresponding to classical self-consistent fields, I”, Russian J. Math. Phys., 2:4 (1995), 527–534 | MR

[6] Landau L. D., Lifshits I. M., Kvantovaya mekhanika. Nerelyativistskaya teoriya, GIFML, M., 1963

[7] Maslov V. P., Kompleksnyi metod VKB, Nauka, M., 1977 | MR