Two-parametric $\delta'$-interactions: approximation by Schr\"odinger operators with localized rank-two perturbations
Spectral Theory
2018-07-03 v2 Mathematical Physics
math.MP
Abstract
We construct a norm resolvent approximation to the family of point interactions , by Schr\"odinger operators with localized rank-two perturbations coupled with short range potentials. In particular, a new approximation to the -interactions is obtained.
Cite
@article{arxiv.1801.09469,
title = {Two-parametric $\delta'$-interactions: approximation by Schr\"odinger operators with localized rank-two perturbations},
author = {Yuriy Golovaty},
journal= {arXiv preprint arXiv:1801.09469},
year = {2018}
}
Comments
Submitted to JPA. 13 pages, 1 figure