caa a22 4500 467911444 CHVBK 20180406152850.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s11232-006-0056-y doi (NATIONALLICENCE)springer-10.1007/s11232-006-0056-y The spectrum of the Schrödinger operator with a rapidly oscillating compactly supported potential [Elektronische Daten] [D. Borisov, R. Gadyl'shin] We study the effect of an eigenvalue appearing from the boundary of the essential spectrum of the Schrödinger operator perturbed by a rapidly oscillating compactly supported potential. We prove sufficient conditions for the existence and absence of such an eigenvalue and obtain the first few terms of its asymptotic expansion for the case where this eigenvalue exists. Springer Science+Business Media, Inc., 2006 Schrödinger operator nationallicence spectrum nationallicence perturbation nationallicence asymptotic behavior nationallicence Borisov D. Bashkir State Pedagogical University, Ufa, Russia aut Gadyl'shin R. Bashkir State Pedagogical University, Ufa, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/1(2006-04-01), 496-500 0040-5779 147:1<496 2006 147 11232 https://doi.org/10.1007/s11232-006-0056-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0056-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Borisov D. Bashkir State Pedagogical University, Ufa, Russia aut NATIONALLICENCE 700 1- Gadyl'shin R. Bashkir State Pedagogical University, Ufa, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/1(2006-04-01), 496-500 0040-5779 147:1<496 2006 147 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer