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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.15844 |
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| _version_ | 1866915208877834240 |
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| author | Bhattacharya, Saptak |
| author_facet | Bhattacharya, Saptak |
| contents | In this paper we prove some uncertainty bounds for commutators and anti-commutators of observables in a $C^*$-algebra. We give a short, elementary proof of Robertson's Standard Uncertaity Principle in this setting. We also prove some other uncertainty relations for which the lower bound doesn't vanish for any number of observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15844 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uncertainty principles on $C^{*}$-algebras Bhattacharya, Saptak Operator Algebras Mathematical Physics 81P16, 15A45 In this paper we prove some uncertainty bounds for commutators and anti-commutators of observables in a $C^*$-algebra. We give a short, elementary proof of Robertson's Standard Uncertaity Principle in this setting. We also prove some other uncertainty relations for which the lower bound doesn't vanish for any number of observables. |
| title | Uncertainty principles on $C^{*}$-algebras |
| topic | Operator Algebras Mathematical Physics 81P16, 15A45 |
| url | https://arxiv.org/abs/2501.15844 |