Rellich's theorem and N-body Schrodinger operators
Mathematical Physics
2016-08-03 v1 Functional Analysis
math.MP
Abstract
We show an optimal version of the Rellich theorem for generalized many-body Schrodinger operators. It applies to singular potentials, in particular to a model for atoms and molecules with infinite mass and finite extent nuclei. Our proof relies on a Mourre estimate and a functional calculus localization technique.
Cite
@article{arxiv.1602.07493,
title = {Rellich's theorem and N-body Schrodinger operators},
author = {K. Ito and E. Skibsted},
journal= {arXiv preprint arXiv:1602.07493},
year = {2016}
}
Comments
11 pp