Note on 2D Schr\"odinger operators with delta-interactions on angles and crossing lines
Mathematical Physics
2013-03-26 v1 math.MP
Abstract
In this note we sharpen the lower bound from [LLP10] on the spectrum of the 2D Schroedinger operator with a delta-interaction supported on a planar angle. Using the same method we obtain the lower bound on the spectrum of the 2D Schroedinger operator with a delta-interaction supported on crossing straight lines. The latter operators arise in the three-body quantum problem with delta-interactions between particles.
Keywords
Cite
@article{arxiv.1303.6095,
title = {Note on 2D Schr\"odinger operators with delta-interactions on angles and crossing lines},
author = {Vladimir Lotoreichik},
journal= {arXiv preprint arXiv:1303.6095},
year = {2013}
}
Comments
proceedings note