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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.06715 |
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| _version_ | 1866909248326205440 |
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| author | Zhu, Zi-Fan Wang, Yao |
| author_facet | Zhu, Zi-Fan Wang, Yao |
| contents | For quantum particles in a Boltzmann state, we derive an inequality between momentum uncertainty $Δp$ and thermal de Broglie wavelength $λ_{\rm th}$, expressed as $Δp \geq \sqrt{2π}\hbar/λ_{\rm th}$, as a corollary of the Boltzmann lower bound for the Heisenberg uncertainty product proposed in the previous work [EPL, 143, 20001 (2023)] |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the relation between momentum uncertainty and thermal wavelength Zhu, Zi-Fan Wang, Yao Quantum Physics Statistical Mechanics For quantum particles in a Boltzmann state, we derive an inequality between momentum uncertainty $Δp$ and thermal de Broglie wavelength $λ_{\rm th}$, expressed as $Δp \geq \sqrt{2π}\hbar/λ_{\rm th}$, as a corollary of the Boltzmann lower bound for the Heisenberg uncertainty product proposed in the previous work [EPL, 143, 20001 (2023)] |
| title | On the relation between momentum uncertainty and thermal wavelength |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2407.06715 |