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arXiv · 1303.6095

Note on 2D Schr\"odinger operators with delta-interactions on angles and crossing lines

Vladimir Lotoreichik
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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.

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Vladimir Lotoreichik. 2013-03-25. Note on 2D Schr\"odinger operators with delta-interactions on angles and crossing lines. https://arxiv.org/abs/1303.6095

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