Geodesic
Wave operators for the Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 224-234 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new definition of wave operators directly connected with the asymptotics of solutions of non-stationary Schrödinger equation at large times is suggested. The existence of such wave operators is proved for time-dependent long-range (in particular, multi-particle) potentials. Connection with the traditional wave operators is established. Local wave operators corresponding to an arbitrary open set in configuration space are also considered. 
@article{TMF_1980_45_2_a6,
     author = {D. R. Yafaev},
     title = {Wave operators for the {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {224--234},
     year = {1980},
     volume = {45},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a6/}
}
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D. R. Yafaev. Wave operators for the Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 224-234. http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a6/

[1] J. M. Cook, J. Math. Phys., 36 (1957), 82 | DOI | MR

[2] V. S. Buslaev, V. B. Matveev, TMF, 2 (1970), 367 | MR

[3] J. D. Dollard, J. Math. Phys., 5 (1964), 729 | DOI | MR

[4] L. Hörmander, Math. Z., 146 (1976), 69 | DOI | MR | Zbl

[5] K. Yajima, J. Math. Soc. Japan, 29 (1977), 729 | DOI | MR | Zbl

[6] T. Kato, J. Math. Soc. Japan, 5 (1953), 208 | DOI | MR | Zbl

[7] M. Rid, B. Saimon, Metody sovremennoi matematicheskoi fiziki, t. 2, «Mir», 1978 | MR

[8] P. Alsholm, T. Kato, Proc. Symp. Pure Math., 23 (1973), 393 | DOI | MR | Zbl