On Schoedinger operators with multipolar inverse-square potentials
Analysis of PDEs
2007-07-23 v6 Spectral Theory
Abstract
Positivity, essential self-adjointness, and spectral properties of a class of Schroedinger operators with multipolar inverse-square potentials are discussed. In particular a necessary and sufficient condition on the masses of singularities for the existence of at least a configuration of poles ensuring the positivity of the associated quadratic form is established.
Cite
@article{arxiv.math/0602209,
title = {On Schoedinger operators with multipolar inverse-square potentials},
author = {Veronica Felli and Elsa M. Marchini and Susanna Terracini},
journal= {arXiv preprint arXiv:math/0602209},
year = {2007}
}