Quantitative Stability for the Heisenberg-Pauli-Weyl inequality
Sean McCurdy, and Raghavendra Venkatraman
TL;DR
This paper establishes a quantitative stability version of the Heisenberg-Pauli-Weyl inequality, providing precise correction terms that improve the inequality's accuracy across all dimensions.
Contribution
It introduces higher-order correction terms, significantly sharpening the classical inequality with a comprehensive stability analysis.
Findings
Derived next and next-to-next order correction terms
Sharpened the inequality in all dimensions
Provided a quantitative stability framework
Abstract
We prove a quantitative stability result for the Heisenberg-Pauli-Weyl inequality. This yields next and next-to-next order correction terms, sharpening the inequality in all dimensions.
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