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arXiv · 1603.00594

Schr\"odinger Operators with $\delta$-interactions in a Space of Vector-Valued Functions

Aleksey Kostenko·Mark Malamud·Daria Natiagailo
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Abstract

We study spectral properties of Schr\"odinger operators with $\delta$-interactions on a semi-axis by using the theory of boundary triplets and the corresponding Weyl functions. We establish a connection between spectral properties (deficiency indices, self-adjointness, semiboundedness, discreteness of spectra, resolvent comparability etc.) of Schr\"odinger operators with point interactions and a special class of block Jacobi matrices.

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Aleksey Kostenko, Mark Malamud, Daria Natiagailo. 2016-03-02. Schr\"odinger Operators with $\delta$-interactions in a Space of Vector-Valued Functions. https://doi.org/10.4213/mzm11122

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