Refinement of Uncertainty Relations in Quantum Mechanics
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909469147922432 |
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| author | Efimov, Sergei P. |
| author_facet | Efimov, Sergei P. |
| contents | The uncertainty relation of three quantities in quantum mechanics is estimated in terms of commutators. The Pauli matrices are used to find a contribution of third-order commutators. The resulting inequality refines the Heisenberg indeterminacy for two non-conjugate operators when their commutator is not a c-number. The inequality is applied to operators of the kinetic energy and coordinate of one-dimensional system. In addition, uncertainty of the angular momentum components is considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17165 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Refinement of Uncertainty Relations in Quantum Mechanics Efimov, Sergei P. Quantum Physics F.2.2; I.2.7 The uncertainty relation of three quantities in quantum mechanics is estimated in terms of commutators. The Pauli matrices are used to find a contribution of third-order commutators. The resulting inequality refines the Heisenberg indeterminacy for two non-conjugate operators when their commutator is not a c-number. The inequality is applied to operators of the kinetic energy and coordinate of one-dimensional system. In addition, uncertainty of the angular momentum components is considered. |
| title | Refinement of Uncertainty Relations in Quantum Mechanics |
| topic | Quantum Physics F.2.2; I.2.7 |
| url | https://arxiv.org/abs/2501.17165 |