Geodesic
Bogolyubov's method in the problem of pairing vibrations and the problem of eliminating unphysical states
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 3, pp. 353-363 
R. V. Jolos; V. G. Kartavenko; V. Rybarska. Bogolyubov's method in the problem of pairing vibrations and the problem of eliminating unphysical states. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 3, pp. 353-363. http://geodesic.mathdoc.fr/item/TMF_1974_20_3_a7/
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Bogolyubov's strong coupling method is used to solve the problem of pairing vibration excitations. The problem is solved in the harmonic approximation. It is known that the law of conservation of the particle number is not violated and that unphysical solutions do not arise.

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