caa a22 4500 467911622 CHVBK 20180406152850.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s11232-006-0066-9 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0066-9 Chuburin Yu Physicotechnical Institute, Ural Branch, RAS, Izhevsk, Russia aut The levels of the two-particle Schrödinger operator corresponding to a crystal film [Elektronische Daten] [Yu. Chuburin] For a two-particle Schrödinger operator considered in a cell and having a potential periodic in four variables, we establish the existence of levels (i.e., eigenvalues or resonances) in the neighborhood of singular points of the unperturbed Green's function and derive an asymptotic formula for these levels. We prove an existence and uniqueness theorem for the solution of the corresponding Lippmann-Schwinger equation. Springer Science+Business Media, Inc., 2006 two-particle Schrödinger operator nationallicence Lippmann-Schwinger equation nationallicence resonance nationallicence eigenvalue nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/2(2006-05-01), 637-645 0040-5779 147:2<637 2006 147 11232 https://doi.org/10.1007/s11232-006-0066-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0066-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chuburin Yu Physicotechnical Institute, Ural Branch, RAS, Izhevsk, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/2(2006-05-01), 637-645 0040-5779 147:2<637 2006 147 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer