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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2512.12951 |
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| _version_ | 1866910033375133696 |
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| author | Ye, Weixiang |
| author_facet | Ye, Weixiang |
| contents | We systematically analyze Holland's local expectation values within Bohmian mechanics, referring to them as weak actual values to emphasize their connection with weak measurement theory. These quantities are derived constructs that characterize local features associated with observables along Bohmian trajectories. We prove that their ensemble average equals the quantum expectation value and derive their exact time evolution equation. We formally establish their precise relation to the real part of the weak value in quantum measurement theory under position postselection, generalizing earlier insights. Applying this framework to a recent waveguide experiment clarifies the distinct physical roles of the real and imaginary parts of weak values, resolving an apparent challenge to Bohmian mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Actual and weak actual values in Bohmian mechanics Ye, Weixiang Quantum Physics We systematically analyze Holland's local expectation values within Bohmian mechanics, referring to them as weak actual values to emphasize their connection with weak measurement theory. These quantities are derived constructs that characterize local features associated with observables along Bohmian trajectories. We prove that their ensemble average equals the quantum expectation value and derive their exact time evolution equation. We formally establish their precise relation to the real part of the weak value in quantum measurement theory under position postselection, generalizing earlier insights. Applying this framework to a recent waveguide experiment clarifies the distinct physical roles of the real and imaginary parts of weak values, resolving an apparent challenge to Bohmian mechanics. |
| title | Actual and weak actual values in Bohmian mechanics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.12951 |