Perturbation theory with respect to Planck's constant
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 327-332
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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.
@article{TMF_1977_31_3_a4,
author = {Yu. M. Shirokov},
title = {Perturbation theory with respect to {Planck's} constant},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {327--332},
year = {1977},
volume = {31},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_3_a4/}
}
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/
[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