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arXiv · 2312.15544

Heisenberg uncertainty principle and its analogues in higher dimension: via Wigdersons' method

Yiyu Tang
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Abstract

The following question was proposed by Avi Wigderson and Yuval Wigderson: Is it possible to use the method in their paper(The uncertainty principle: variations on a theme) to prove Heisenberg uncertainty principle in higher dimension R^d, and get the correct dependence of the constant on d? We answer this question affirmatively, and also prove some generalizations of Heisenberg uncertainty principle in R^d via Wigdersons' method.

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Yiyu Tang. 2023-12-24. Heisenberg uncertainty principle and its analogues in higher dimension: via Wigdersons' method. https://doi.org/10.1007/s00041-025-10151-0

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