Note on 2D Schrödinger operators with δ-interactions on angles and crossing lines
Abstract
In this note we sharpen the lower bound previously obtained by Lobanov et al [LLP10] for the spectrum of the 2D Schrödinger operator with a δ-interaction supported on a planar angle. Using the same method we obtain the lower bound on the spectrum of the 2D Schrödinger 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.
Supporting agencies: The work was supported by Austrian Science Fund (FWF): project P 25162-N26 and partially supported by the Ministry of Education and Science of Russian Federation: project 14.B37.21.0457.
About the Author
V. Lotoreichik
Technische Universität Graz, Institut für Numerische Mathematik
Austria
Austria
Steyrergasse 30, 8010 Graz
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Review
For citations:
Lotoreichik V. Note on 2D Schrödinger operators with δ-interactions on angles and crossing lines. Nanosystems: Physics, Chemistry, Mathematics. 2013;4(2):166-172.
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