English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider a quantum particle at a thermal equilibrium and compute its Gibbs state. The transition to the thermodynamic limit reveals that the asymptotic quantum variance of the velocity operator of the particle coincides with the Maxwell-Boltzmann variance of the velocity distribution, which means that the Maxwell-Boltzmann description of the ideal gas is in some sense compatible with the quantum description of a gas in a macroscopic container at an arbitrary temperature. AMS Subject Classification: 81V99, 83B30, 83B31

ON A COMPATIBILITY RELATION BETWEEN THE MAXWELL-BOLTZMANN AND THE QUANTUM DESCRIPTION OF A GAS PARTICLE