High-frequency asymptotics of one integral in the theory of equilibrium radiation of electron gas
Bobrov V. B.1,2
1Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow, Russia
2National Research University “Moscow Power Engineering Institute”, Moscow, Russia
Email: vic5907@mail.ru

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It is considered an improper integral that determines the high-frequency asymptotics of the spectral energy distribution of equilibrium radiation in an ideal electron gas. It has been established that in the "high-frequency" limit the asymptotics of this integral has a power-law character, and its value is proportional to the density of the electron gas as a function of temperature and chemical potential for arbitrary degeneracy of electrons. Keywords: equilibrium radiation, spectral energy distribution, electron gas.
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