On the relation between momentum uncertainty and thermal wavelength

2024/07/09 by Zi-Fan Zhu, Yao Wang, Zhu, Zi-Fan +1
Engineering · Materials Science · Physics and Astronomy · #Atomic and Molecular Physics #Electron and X-Ray Spectroscopy Techniques #FOS: Physical sciences #Optical Polarization and Ellipsometry #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2407.06715

openalex publication_date 2024/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 ≥ √(2π)ℏ/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)]

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