On the discrete spectrum of a Schroedinger operator in a half-plane with a potential localized along a line

Abstract: We discuss the the spectral properties of a Schrödinger operator in a half-plane with Neuman boundary condition and with a (regular or singular) potential which only depends on the distance to a line. We discuss the cardinality of the discrete spectrum for the case when the potential is attractive and the line is not parallel to the boundary. Based in part on a joint work with Sebastian Egger and Joachim Kerner.

mathematical physics

Audience: researchers in the topic

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