Semi-classical resolvent estimates for short-range $L^\infty$ potentials

TL;DR

This paper extends semi-classical resolvent estimates from compactly supported to non-compactly supported real-valued $L^ Infty$ potentials, broadening the applicability of these estimates in quantum mechanics and PDE analysis.

Contribution

It introduces new techniques to handle non-compact support in semi-classical resolvent estimates for $L^ Infty$ potentials, advancing previous results.

Findings

Extended resolvent estimates to non-compactly supported potentials

Established bounds for semi-classical resolvents in broader settings

Improved understanding of spectral properties for $L^ Infty$ potentials

Abstract

We extend previous semi-classical resolvent estimates for real-valued compactly supported $L^\infty$ potentials to non-compactly supported $L^\infty$ potentials.