Geodesic
Perturbation theory with respect to Planck's constant
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 327-332 
Yu. M. Shirokov. Perturbation theory with respect to Planck's constant. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 327-332. http://geodesic.mathdoc.fr/item/TMF_1977_31_3_a4/
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     title = {Perturbation theory with respect to {Planck's} constant},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_3_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Quantum equation of motion for a particle in external field is written down in the form of the integral equation of the Lippmann–Schwinger type, in which the free solution term is replaced by the solution of the corresponding classical problem. The iterations of the equation give quantum corrections to the classical solutions.

[1] Yu. M. Shirokov, TMF, 28 (1976), 308 | Zbl

[2] Yu. M. Shirokov, TMF, 29 (1976), 309

[3] E. Grigin, A. Petersen, J. Math. Phys., 15 (1974), 764 | DOI

[4] G. A. Zaitsev, Algebraicheskie problemy matematicheskoi i teoreticheskoi fiziki, «Nauka», 1974 | MR

[5] Yu. M. Shirokov, TMF, 25 (1975), 307 | Zbl

[6] F. A. Berezin, Izv. AN SSSR, ser. matem., 38 (1972), 1117