An infinity of the classical theory of fluctuations in a nondegenerate electron gas

The singularities of the fluctuations of the density and electric field in a nondegenerate ideal electron gas are discussed. Classical calculations for a point electron lead to an infinity in the spectral energy distribution of the Coulomb field. Measurements of the spectral energy distribution in the classical frequency region and the elimination of the singularity by incorporating quantum fluctuations are discussed. The space-time correlation function of the density fluctuations in a nondegenerate ideal gas is discussed.

PACS: 05.40.+j
DOI: 10.1070/PU1978v021n10ABEH005689
URL: https://ufn.ru/en/articles/1978/10/e/
Citation: Andronov A A, Ryzhov Yu A "An infinity of the classical theory of fluctuations in a nondegenerate electron gas" Sov. Phys. Usp. 21 873–878 (1978)

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Оригинал: Андронов А А, Рыжов Ю А «Об одной бесконечности классической теории флуктуаций в невырожденном электронном газе» УФН 126 323–331 (1978); DOI: 10.3367/UFNr.0126.197810f.0323

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