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Resolving the partition function’s paradox of the hydrogen atom

A. Plastino, M.C. Rocca and G.L. Ferri

Physica A: Statistical Mechanics and its Applications, 2019, vol. 534, issue C

Abstract: Our protagonist here is the electronic contribution to the canonical ensemble partition function of the hydrogen atom. It is well known that it poses an intriguing paradox, (Blinder, 1995). We attempt to solve it by appeal to a mathematical zeta function’s regularization technique.

Keywords: Hydrogen atom paradox; Partition function; Mean energy; Specific heat (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312580

DOI: 10.1016/j.physa.2019.122169

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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