On the relation between momentum uncertainty and thermal wavelength

Zi-Fan Zhu; Yao Wang

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arXiv · 2407.06715

On the relation between momentum uncertainty and thermal wavelength

Zi-Fan Zhu·Yao Wang

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Abstract

For quantum particles in a Boltzmann state, we derive an inequality between momentum uncertainty $\Delta p$ and thermal de Broglie wavelength $\lambda_{\rm th}$, expressed as $\Delta p \geq \sqrt{2\pi}\hbar/\lambda_{\rm th}$, as a corollary of the Boltzmann lower bound for the Heisenberg uncertainty product proposed in the previous work [EPL, 143, 20001 (2023)]

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Zi-Fan Zhu, Yao Wang. 2024-07-09. On the relation between momentum uncertainty and thermal wavelength. https://arxiv.org/abs/2407.06715

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