  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)]
