Smilansky-Solomyak model with a $\delta'$-interaction
Mathematical Physics
2019-12-10 v2 math.MP
Spectral Theory
Quantum Physics
Abstract
We investigate a strongly singular version of the model of irreversible dynamics proposed by Smilansky and Solomyak in which the interaction responsible for an abrupt change of the spectrum is of type. We determine the spectrum in both the subcritical and supercritical regimes and discuss its character as well as its asymptotic properties of the discrete spectrum in terms of the coupling constant.
Cite
@article{arxiv.1801.08304,
title = {Smilansky-Solomyak model with a $\delta'$-interaction},
author = {Pavel Exner and Jiří Lipovský},
journal= {arXiv preprint arXiv:1801.08304},
year = {2019}
}
Comments
11 pages, no figures; minor improvements in version 2, to appear in Phys. Lett. A