Mathematics > Spectral Theory
arXiv:2606.15424 (math)
[Submitted on 13 Jun 2026]
Abstract:We prove that two different abstract quantitative uncertainty principles are equivalent to the strict positivity of the associated abstract Schrö\-din\-ger operators. We also discuss the case of continuum Schrödinger operators, in which case our method provides an explicitly computable lower bound as well as a control theoretic application.
Submission history
From: P. Stollmann [view email]
[v1]
Sat, 13 Jun 2026 18:25:11 UTC (15 KB)
Bibliographic Tools
Bibliographic and Citation Tools
Bibliographic Explorer Toggle
Code, Data, Media
Code, Data and Media Associated with this Article
Demos
Demos
Related Papers
Recommenders and Search Tools
About arXivLabs
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.























