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Particle in a box at high temperature

2003/03/27 by Michal Demetrian, Demetrian, Michal
Engineering · Mathematics · Physics and Astronomy · #Aerosol Filtration and Electrostatic Precipitation #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Physics Education (physics.ed-ph) #Radiative Heat Transfer Studies #physics.atom-ph #physics.ed-ph

paper · pdf · doi:10.48550/arxiv.physics/0303110

4 pages, 2 figures

openalex publication_date 2003/03/27 · arxiv created 2006/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

High temperature expansion of the partition function for a particle on a segment of a line is found to show an example of the quantum system that thermodynamical functions do not approach the thermodynamical functions of its classical counterpart at high temperature. The problem might be interesting for the students and teachers because by a collection of noninteracting particles trapped in a box at sufficiently high temperature and low density one imitates the classical ideal gas.

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