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math-ph2013★ 51 cited
Schrödinger operators with δ- and δ'-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
Jussi Behrndt, Pavel Exner, Vladimir Lotoreichik
We investigate Schrödinger operators with δ- and δ'-interactions supported on hypersurfaces, which separate the Euclidean space into finitely many bounded and unbounded Lipschitz d…
math-ph2013
Note on 2D Schrödinger operators with delta-interactions on angles and crossing lines
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…