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arXiv:2604.18180

Comment on "Specific heat of an ideal Bose gas above the Bose condensation temperature," [Am. J. Phys. 72(9), 1193--1194 (2004)]

Fengqiu Wang

Published Apr 20, 2026• 0 citations
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Abstract

We examine the English translation of Albert Einstein's groundbreaking 1925 paper on Bose-Einstein condensation. We guide readers to execute the calculations Einstein outlined for the specific heat above the condensation temperature, correct some numerical errors, and compare his formula with a different one published in the American Journal of Physics in 2004. The history of the acceptance of Einstein's theory will be summarized.

DOI
10.48550/arxiv.2604.18180

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We examine the English translation of Albert Einstein's groundbreaking 1925 paper on Bose-Einstein condensation. We guide readers to execute the calculations Einstein outlined for the specific heat above the condensation temperature, correct some numerical errors, and compare his formula with a different one published in the American Journal of Physics in 2004. The history of the acceptance of Einstein's theory will be summarized.
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The condensation temperature and the specific-heat anomaly of an ideal relativistic Bose gas are discussed. For a high concentration of bosons with small rest mass there is a marked departure from the normal nonrelativistic theory. The heat capacity Cv{C}_{v}Cv​ remains continuous at the condensation temperature unless the rest mass vanishes.