Physics

Physicists Challenge Calculations of Bose Gas Specific Heat Properties

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This paper provides a detailed examination of Einstein's original 1925 work on Bose-Einstein condensation, specifically focusing on his calculations for the specific heat of an ideal Bose gas above the condensation temperature. The authors guide readers through Einstein's mathematical derivations, identify and correct numerical errors in his original work, and compare his results with a formula published in the American Journal of Physics in 2004. The paper also includes a historical overview of how Einstein's theoretical predictions were received by the scientific community.


This work helps clarify foundational calculations in quantum statistical mechanics and ensures accurate understanding of Einstein's original contributions to Bose-Einstein condensation theory. By correcting historical numerical errors and comparing different formulations, it provides valuable pedagogical resources for students and researchers studying quantum gases.


arXiv:2604.18180v3 Announce Type: replace
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.

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