NOTE ON 2D SCHR¨ODINGER OPERATORS WITH δ-INTERACTIONS ON ANGLES AND CROSSING LINES
Аннотация:
In this note we sharpen the lower bound previously obtained by Lobanov et al [LLP10] for the spectrum of the 2D Schr¨odinger operator with aδ-interaction supported on a planar angle. Using the same method we obtain the lower bound on the spectrum of the 2D Schr¨odinger operator with a δ-interaction supported on crossing straight lines. The latter operators arise in the three-body quantum problem with δ-interactions between particles.
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