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Rayleigh–Jeans law : ウィキペディア英語版
Rayleigh–Jeans law

In physics, the Rayleigh–Jeans law attempts to describe the spectral radiance of electromagnetic radiation at all wavelengths from a black body at a given temperature through classical arguments. For wavelength ''λ'', it is:
:B_\lambda(T) = \frac,
where ''c'' is the speed of light, is the Boltzmann constant and ''T'' is the temperature in kelvins. For frequency ''ν'', the expression is instead
:B_\nu(T) = \frac.
The Rayleigh–Jeans law agrees with experimental results at large wavelengths (low frequencies) but strongly disagrees at short wavelengths (high frequencies). This inconsistency between observations and the predictions of classical physics is commonly known as the ultraviolet catastrophe,〔''Astronomy: A Physical Perspective'', Mark L. Kutner pp. 15〕〔''Radiative Processes in Astrophysics'', Rybicki and Lightman pp. 20–28〕 and its resolution was a foundational aspect of the development of quantum mechanics in the early 20th century.
==Historical development==

In 1900, the British physicist Lord Rayleigh derived the ''λ''−4 dependence of the Rayleigh–Jeans law based on classical physical arguments.〔''Astronomy: A Physical Perspective'', Mark L. Kutner pp. 15〕 A more complete derivation, which included the proportionality constant, was presented by Rayleigh and Sir James Jeans in 1905. The Rayleigh–Jeans law revealed an important error in physics theory of the time. The law predicted an energy output that diverges towards infinity as wavelength approaches zero (as frequency tends to infinity) and measurements of energy output at short wavelengths disagreed with this prediction.

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