Point contacts and boundary triples
Mathematical Physics
2014-06-19 v3 math.MP
Spectral Theory
Abstract
We suggest an abstract approach for point contact problems in the framework of boundary triples. Using this approach we obtain the perturbation series for a simple eigenvalue in the discrete spectrum of the model self-adjoint extension with weak point coupling. An example of a two-level quantum model is provided.
Cite
@article{arxiv.1403.4453,
title = {Point contacts and boundary triples},
author = {Vladimir Lotoreichik and Hagen Neidhardt and Igor Yu. Popov},
journal= {arXiv preprint arXiv:1403.4453},
year = {2014}
}
Comments
A few typos corrected. An example of a two-level quantum model is provided