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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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

Cited by (1) Similar articles (20) ↓

A.V. Belinskii “Regular and quasiregular spectra of disordered layer structures” Phys. Usp. 38 653–664 (1995)
T.S. Velichkina, I.A. Yakovlev “A special case of Brownian motion and Einstein’s law” Phys. Usp. 40 103–104 (1997)
Yu.S. Barash, V.L. Ginzburg “Expressions for the energy density and evolved heat in the electrodynamics of a dispersive and absorptive medium” Sov. Phys. Usp. 19 263–270 (1976)
H. Paul, R. Fischer “Light absorption by a dipole” Sov. Phys. Usp. 26 923–926 (1983)
Ya.B. Zel’dovich, L.P. Grishchuk “Gravitation, the general theory of relativity, and alternative theories” Sov. Phys. Usp. 29 780–787 (1986)
Yu.L. Klimontovich “What are stochastic filtering and stochastic resonance?” Phys. Usp. 42 37–44 (1999)
I.V. Sokolov “The angular momentum of an electromagnetic wave, the Sadovskii effect, and the generation of magnetic fields in a plasma” Sov. Phys. Usp. 34 (10) 925–932 (1991)
V.P. Bykov, A.V. Gerasimov, V.O. Turin “Coulomb disintegration of weak electron fluxes and the photocounts” Phys. Usp. 38 911–921 (1995)
A.A. Logunov “The theory of the classical gravitational field” Phys. Usp. 38 179–193 (1995)
G.N. Gaidukov, A.A. Abramov “An interpretation of the energy conservation law for a point charge moving in a uniform electric field” Phys. Usp. 51 163–166 (2008)
M.I. Shirokov “Signal velocity in quantum electrodynamics” Sov. Phys. Usp. 21 345–358 (1978)
L.A. Apresyan, Yu.A. Kravtsov “Photometry and coherence: wave aspects of the theory of radiation transport” Sov. Phys. Usp. 27 301–313 (1984)
B.P. Kosyakov “Radiation in electrodynamics and in Yang-Mills theory” Sov. Phys. Usp. 35 (2) 135–142 (1992)
A.L. Barabanov “Angular momentum in classical electrodynamics” Phys. Usp. 36 (11) 1068–1074 (1993)
V.F. Khirnyi, A.A. Kozlovskii “Nonlinear effects and domain instability in oxide ceramics” Phys. Usp. 46 657–663 (2003)
A.I. Musienko, L.I. Manevich “Classical mechanical analogs of relativistic effects” Phys. Usp. 47 797–820 (2004)
M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting plate” Phys. Usp. 53 595–609 (2010)
D.V. Karlovets “On dual representation in classical electrodynamics” Phys. Usp. 53 817–824 (2010)
M.Ya. Agre “Multipole expansions in magnetostatics” Phys. Usp. 54 167–180 (2011)
I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive media” Phys. Usp. 59 141–152 (2016)

The list is formed automatically.