Refined uncertainty relation for q-commutator
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913904187146240 |
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| author | Yanagi, Kenjiro |
| author_facet | Yanagi, Kenjiro |
| contents | We show that Robertson uncertainty relation can be refined for q-commutator which is defined by $[A,B]_q = AB-qBA$, where $A, B$ are self-adjoint operators and real number $q\in \mathbb{R}$. The coefficient is represented by the eigenvalues of state $ρ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16850 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Refined uncertainty relation for q-commutator Yanagi, Kenjiro Functional Analysis We show that Robertson uncertainty relation can be refined for q-commutator which is defined by $[A,B]_q = AB-qBA$, where $A, B$ are self-adjoint operators and real number $q\in \mathbb{R}$. The coefficient is represented by the eigenvalues of state $ρ$. |
| title | Refined uncertainty relation for q-commutator |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2506.16850 |