caa a22 4500 463197437 CHVBK 20180406164926.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10773-006-9262-5 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9262-5 Existence and Completeness of the Wave Operators for Higher Order Differential Operators [Elektronische Daten] [A. Khater, M. Saif, K. Rashidy] The aim of the present paper is to study the existence and the completeness of the wave operators $$\cal{W}_{\pm}(H,H_{0})$$ for elliptic operators of higher order (Schrödinger operator) with short-range potential of the form: $$ H = \sum_{|\alpha|,|\beta| \leq m}(-1)^{|\alpha|} D^{\alpha}(b_{\alpha \beta}(x)D^{\beta})+V_{0}+V$$ and other related results by using the trace class method. Springer Science+Business Media, LLC, 2006 wave operator nationallicence trace class method nationallicence partial differential operator nationallicence Khater A. Mathematics Department, Faculty of Science, Beni-seuf University, Beni-seuf, Egypt aut Saif M. Mathematics Department, Faculty of Science, Fayoum University, Fayoum, Egypt aut Rashidy K. Mathematics Department, Faculty of Science, Beni-seuf University, Beni-seuf, Egypt aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1124-1136 0020-7748 46:5<1124 2007 46 10773 https://doi.org/10.1007/s10773-006-9262-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9262-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Khater A. Mathematics Department, Faculty of Science, Beni-seuf University, Beni-seuf, Egypt aut NATIONALLICENCE 700 1- Saif M. Mathematics Department, Faculty of Science, Fayoum University, Fayoum, Egypt aut NATIONALLICENCE 700 1- Rashidy K. Mathematics Department, Faculty of Science, Beni-seuf University, Beni-seuf, Egypt aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1124-1136 0020-7748 46:5<1124 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer