Uncertainty principles and lower bounds for Schr\"odinger operators

Albrecht Böttcher; Peter Stollmann; Martin Tautenhahn

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arXiv · 2606.15424

Uncertainty principles and lower bounds for Schr\"odinger operators

Albrecht Böttcher·Peter Stollmann·Martin Tautenhahn

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Abstract

We prove that two different abstract quantitative uncertainty principles are equivalent to the strict positivity of the associated abstract Schr\"o\-din\-ger operators. We also discuss the case of continuum Schr\"odinger operators, in which case our method provides an explicitly computable lower bound as well as a control theoretic application.

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BibTeX RIS

Albrecht Böttcher, Peter Stollmann, Martin Tautenhahn. 2026-06-13. Uncertainty principles and lower bounds for Schr\"odinger operators. https://arxiv.org/abs/2606.15424

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