Spectral transition model with the general contact interaction
Mathematical Physics
2022-07-11 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
Using a technique introduced by Sergei Naboko, we analyze a generalization of the parameter-controlled model of spectral transition, originally proposed by Smilansky and Solomyak, to the situation where the singular interaction responsible for the effect is characterized by the `full' family of four real numbers with the `diagonal' part of the coupling being position-dependent.
Cite
@article{arxiv.2207.03713,
title = {Spectral transition model with the general contact interaction},
author = {Pavel Exner and Jiří Lipovský},
journal= {arXiv preprint arXiv:2207.03713},
year = {2022}
}
Comments
24 pages, to appear in "From Complex Analysis to Operator Theory: A Panorama In Memory of Sergey Naboko"