Yafaev, D. R. Wave operators for the Schrödinger equation. (English) Zbl 0467.35076 Theor. Math. Phys. 45, 992-998 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 Documents MSC: 35P25 Scattering theory for PDEs 35J10 Schrödinger operator, Schrödinger equation 81U10 \(n\)-body potential quantum scattering theory 47A40 Scattering theory of linear operators 35B40 Asymptotic behavior of solutions to PDEs Keywords:wave operators; Schrödinger equation; asymptotic behavior; time- dependent, slowly decreasing potentials; local wave operators; scattering theory Citations:Zbl 0458.35078 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Theor. Math. Phys. 45, 992--998 (1981; Zbl 0467.35076) Full Text: DOI References: [1] J. M. Cook, J. Math. Phys.36, 82 (1957). [2] V. S. Buslaev and V. B. Matveev, Teor. Mat. Fiz.,2, 367 (1970). [3] J. D. Dollard, J. Math. Phys.,5, 729 (1964). · doi:10.1063/1.1704171 [4] L. Hörmander, Math. Z.146, 69 (1976). · Zbl 0319.35059 · doi:10.1007/BF01213717 [5] K. Yajima, J. Math. Soc. Jpn.,29, 729 (1977). · Zbl 0356.47010 · doi:10.2969/jmsj/02940729 [6] T. Kato, J. Math. Soc. Jpn.,5, 208 (1953). · Zbl 0052.12601 · doi:10.2969/jmsj/00520208 [7] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 2, Academic Press, New York (1975). · Zbl 0308.47002 [8] P. Alsholm and T. Kato, Proc. Symp. Pure Math.,23, 393 (1973). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.