Potential approximations to $\delta'$: an inverse Klauder phenomenon with norm-resolvent convergence
数学物理
2020-01-20 v2 math.MP
量子物理
摘要
We show that there is a family Schroedinger operators with scaled potentials which approximates the -interaction Hamiltonian in the norm-resolvent sense. This approximation, based on a formal scheme proposed by Cheon and Shigehara, has nontrivial convergence properties which are in several respects opposite to those of the Klauder phenomenon.
引用
@article{arxiv.math-ph/0103027,
title = {Potential approximations to $\delta'$: an inverse Klauder phenomenon with norm-resolvent convergence},
author = {Pavel Exner and Hagen Neidhardt and Valentin Zagrebnov},
journal= {arXiv preprint arXiv:math-ph/0103027},
year = {2020}
}
备注
LaTeX2e, a revised version to be published in Commun. Math. Phys