Thermodynamic limit of the free electron gas on a circle
Quantum Gases
2024-09-30 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We show that for the ground state of a one dimensional free electron gas on a circle the analytic expression for the canonical ensemble partition function can be easily derived from the density matrix by assuming that the thermodynamic limit coincides with the limit of the eigenfunction expansion of the kinetic energy. This approximation fails to give the finite temperature partition function because those two limits cannot be chosen as coincident.
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Cite
@article{arxiv.2302.05480,
title = {Thermodynamic limit of the free electron gas on a circle},
author = {Riccardo Fantoni},
journal= {arXiv preprint arXiv:2302.05480},
year = {2024}
}
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3 pages