Heisenberg uncertainty principle and its analogues in higher dimension: via Wigdersons' method
Functional Analysis
2025-08-26 v2
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.
Keywords
Cite
@article{arxiv.2312.15544,
title = {Heisenberg uncertainty principle and its analogues in higher dimension: via Wigdersons' method},
author = {Yiyu Tang},
journal= {arXiv preprint arXiv:2312.15544},
year = {2025}
}