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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.15544 |
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| _version_ | 1866909750016344064 |
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| author | Tang, Yiyu |
| author_facet | Tang, Yiyu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15544 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Heisenberg uncertainty principle and its analogues in higher dimension: via Wigdersons' method Tang, Yiyu Functional Analysis 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. |
| title | Heisenberg uncertainty principle and its analogues in higher dimension: via Wigdersons' method |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2312.15544 |