@article{SM_1985_52_2_a7,
author = {E. L. Korotyaev},
title = {On the eigenfunctions of the monodromy operator of the {Schr\"odinger} operator with a~time-periodic potential},
journal = {Sbornik. Mathematics},
pages = {423--438},
year = {1985},
volume = {52},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1985_52_2_a7/}
}
E. L. Korotyaev. On the eigenfunctions of the monodromy operator of the Schrödinger operator with a time-periodic potential. Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 423-438. http://geodesic.mathdoc.fr/item/SM_1985_52_2_a7/
[1] Zeldovich Ya. B., “Rasseyanie i izluchenie kvantovoi sistemoi v silnoi elektromagnitnoi volne”, UFN, 10 (1973), 139–151
[2] Schmidt G., “On scattering by time-dependent pertubation”, Ind. Univ. Math. J., 24 (1975), 925–935 | DOI | MR | Zbl
[3] Yajima K., “Scattering theory for Schrödinger equation with potential periodic in time”, J. Math. Soc. Japan., 29 (1977), 729–743 | DOI | MR | Zbl
[4] Howland J., “Scattering theory for hamiltonian periodic in time”, Ind. Univ. Math. J., 28 (1979), 471–494 | DOI | MR | Zbl
[5] Yafaev D. R., “Podprostranstva rasseyaniya i asimptoticheskaya polnota dlya nestatsionarnogo uravneniya Shredingera”, Matem. sb., 118(160) (1982), 262–279 | MR | Zbl
[6] Korotyaev E. L., “Zadacha rasseyaniya dlya medlenno ubyvayuschego potentsiala, periodicheski zavisyaschego ot vremeni”, Zap. nauchn. semin. LOMI, 84 (1979), 114–116 | MR | Zbl
[7] Korotyaev E. L., “O spektre operatora monodromii operatora Shredingera s periodicheskim po vremeni potentsialom”, Zapiski nauchn. sem. LOMI, 96 (1980), 101–104 | MR
[8] Howland J., “Stationary scattering theory for time-dependent hamiltonians”, Math. Ann., 207 (1974), 315–335 | DOI | MR | Zbl
[9] Yafaev D. R., “O narushenii unitarnosti pri rasseyanii na nestatsionarnom potentsiale”, DAN SSSR, 243:5 (1978), 1150–1153 | MR | Zbl
[10] Yafaev D. R., “Ob asimptoticheskom povedenii reshenii nestatsionarnogo uravneniya Shredingera”, Matem. sb., 111(153) (1980), 187–208 | MR | Zbl
[11] Agmon S., “Spectral properties of Schrödinger operators and scattering theory”, Ann. Scuola Norm Sup. Pisa. ser. IV, 2 (1975), 151–218 | MR | Zbl
[12] Enss V., “Asymptotic completeness for quantum mechanical potential scattering”, Comm. Math. Phys., 61 (1978), 285–291 | DOI | MR | Zbl
[13] Yafaev D. R., “O tochechnom spektre v kvantovomekhanicheskoi zadache mnogikh chastits”, Izv. AN SSSR. Seriya matem., 40 (1976), 908–948 | Zbl
[14] Faddeev L. D., Matematicheskie voprosy kvantovoi teorii rasseyaniya dlya sistemy trekh chastits, Trudy MIAN, 69, 1963 | MR | Zbl
[15] Birman M. Sh., “O spektre singulyarnykh granichnykh zadach”, Matem. sb., 55(97) (1961), 125–174 | MR | Zbl
[16] Korotyaev E. L., “Teoriya rasseyaniya dlya trekh chastits s parnymi potentsialami, periodicheskimi po vremeni”, DAN SSSR, 225:4 (1980), 836–839 | MR
[17] Ginibre J., Moulin M., “Hibbert space approach to the quantum mechanical three-body problem”, Ann. Inst. H. Poincaré, 31 (1974), 97–145 | MR
[18] Birman M. Sh., Solomyak M. Z., Spektralnaya teoriya samosopryazhennykh operatorov v gilbertovom prostranstve, LGU, L., 1980 | MR
[19] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, t. 2, Mir, M., 1978 | MR