Asymptotic spectral analysis in colliding leaky quantum layers
Mathematical Physics
2017-09-07 v1 Analysis of PDEs
math.MP
Spectral Theory
Quantum Physics
Abstract
We consider the Schroedinger 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.
Cite
@article{arxiv.1606.07273,
title = {Asymptotic spectral analysis in colliding leaky quantum layers},
author = {Sylwia Kondej and David Krejcirik},
journal= {arXiv preprint arXiv:1606.07273},
year = {2017}
}
Comments
29 pages