Article ID Journal Published Year Pages File Type
4613770 Journal of Mathematical Analysis and Applications 2017 28 Pages PDF
Abstract

We consider the Schrödinger operator with a complex delta interaction supported by two parallel hypersurfaces in the Euclidean space of any dimension. We analyse spectral properties of the system in the limit when the distance between the hypersurfaces tends to zero. We establish the norm-resolvent convergence to a limiting operator and derive first-order corrections for the corresponding eigenvalues.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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