1303.6095 (Vladimir Lotoreichik)

Note on 2D Schrödinger operators with delta-interactions on angles and
crossing lines    [PDF]

Vladimir Lotoreichik

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.

View original: http://arxiv.org/abs/1303.6095