Heisenberg Uncertainty Principle on half spaces and Orthants: Best constants, Optimizers and Stability
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866910029024591872 |
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| author | Lam, Nguyen Lodha, Yukta Lu, Guozhen Sengupta, Ambar N. |
| author_facet | Lam, Nguyen Lodha, Yukta Lu, Guozhen Sengupta, Ambar N. |
| contents | Though the sharp Heisenberg Uncertainty Principle has been extensively studied in the entire Euclidean spaces, the counterpart on the half spaces or more general orthants has been missing in the literature. We investigate the sharp Heisenberg Uncertainty Principle on orthants by computing explicitly the optimal constant and determining all possible extremal functions. Moreover, we establish several stability estimates of the Heisenberg Uncertainty Principle on the half spaces and orthants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18810 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Heisenberg Uncertainty Principle on half spaces and Orthants: Best constants, Optimizers and Stability Lam, Nguyen Lodha, Yukta Lu, Guozhen Sengupta, Ambar N. Analysis of PDEs Though the sharp Heisenberg Uncertainty Principle has been extensively studied in the entire Euclidean spaces, the counterpart on the half spaces or more general orthants has been missing in the literature. We investigate the sharp Heisenberg Uncertainty Principle on orthants by computing explicitly the optimal constant and determining all possible extremal functions. Moreover, we establish several stability estimates of the Heisenberg Uncertainty Principle on the half spaces and orthants. |
| title | Heisenberg Uncertainty Principle on half spaces and Orthants: Best constants, Optimizers and Stability |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.18810 |