Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1900432 | Reports on Mathematical Physics | 2011 | 16 Pages |
Abstract
We study a two-dimensional quantum system governed by the Schrödinger operator with a delta type potential. The interaction in our model is supported by a line Î which coincides with a straight line at infinity. The aim of this paper is to derive a method which allows to find an upper bound for the number of bound states. The method presented here is based on the Birman-Schwinger technics. Finally, we express the mentioned upper bound in terms of geometrical properties of Î.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jerzy CisÅo, Sylwia Kondej,