Title :
Counting eigenvalues of Schrödinger operator with δ-potential supported by loop
Author :
Lotoreichik, Vladimir Yu ; Lobanov, Igor S. ; Popov, Igor Yu ; Behrndt, Jussi
Author_Institution :
Dept. of Math., St. Petersburg State Univ. of Inf. Technol., Mech. & Opt., St. Petersburg, Russia
Abstract :
The Schrödinger operator with an attractive δ-potential supported by a loop is considered. For such an operator we estimate the number of negative eigenvalues from below and from above in terms of geometrical properties of the support of δ-potential.
Keywords :
Schrodinger equation; eigenvalues and eigenfunctions; Schrodinger operator; delta-potential; geometrical properties; mesoscopic physics; negative eigenvalues; Diffraction; Eigenvalues and eigenfunctions; Electronic mail; Kernel; Physics; System-on-a-chip;
Conference_Titel :
Days on Diffraction (DD), 2009 Proceedings of the International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4244-4874-6
