Ground state decay for Schr\"odinger operators with confining potentials
Probability
2024-07-15 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
We give two-sided estimates of a ground state for Schr\"odinger operators with confining potentials. We propose a semigroup approach, based on resolvent and the Feynman--Kac formula, which leads to a new, rather short and direct proof. Our results take the sharpest form for slowly varying, radial and increasing potentials.
Cite
@article{arxiv.2407.09267,
title = {Ground state decay for Schr\"odinger operators with confining potentials},
author = {Miłosz Baraniewicz},
journal= {arXiv preprint arXiv:2407.09267},
year = {2024}
}
Comments
8 pages