Geodesic
Quantization in the neighborhood of a classical solution in a nonlinear $O(3)$-invariant theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 3, pp. 326-335 
O. D. Timofeevskaya. Quantization in the neighborhood of a classical solution in a nonlinear $O(3)$-invariant theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 3, pp. 326-335. http://geodesic.mathdoc.fr/item/TMF_1978_37_3_a3/
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In the framework of perturbation theory in inverse powers of the coupling constant, a Bogolyubov transformation is used to quantize an essentially nonlinear field that interacts nonlinearly with a fixed source.

[1] N. N. Bogolyubov, UMZh, 2 (1950), 3 ; Избр. труды, т. 2, «Наукова думка», Киев, 1970 | MR | MR | Zbl

[2] E. P. Solodovnikova, A. N. Tavkhelidze, O. A. Khrustalev, TMF, 11 (1972), 317

[3] A. V. Razumov, O. A. Khrustalev, TMF, 29 (1976), 300 | MR

[4] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1976 | MR

[5] N. E. Tyurin, A. V. Shurgaya, Preprint IFVE 72-15, Serpukhov, 1972 | MR