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arXiv · 2606.30079

Heisenberg uncertainty inequalities for locally compact abelian groups

Hartmut Führ
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Abstract

We prove a version of Heisenberg's uncertainty principle for a rather general class of locally compact abelian groups. We compare the lower bound provided by our approach with the optimal lower bound in the Euclidean case, and formulate the Heisenberg uncertainty principle for local fields.

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Hartmut Führ. 2026-06-29. Heisenberg uncertainty inequalities for locally compact abelian groups. https://arxiv.org/abs/2606.30079

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