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Planck-Einstein relation : ウィキペディア英語版
Planck–Einstein relation
The Planck–Einstein relation〔French & Taylor (1978), pp. 24, 55.〕〔Cohen-Tannoudji, Diu & Laloë (1973/1977), pp. 10–11.〕 is also referred to as the Einstein relation,〔〔Messiah (1958/1961), p. 72.〕〔Weinberg (1995), p. 3.〕 Planck's energy–frequency relation,〔Schwinger (2001), p. 203.〕 the Planck relation,〔Landsberg (1978), p. 199.〕 and the Planck equation.〔Landé (1951), p. 12.〕 Also the eponym 'Planck formula'〔Griffiths, D.J. (1995), pp. 143, 216.〕 belongs on this list, but also often refers instead to Planck's law〔Griffiths, D.J. (1995), pp. 217, 312.〕〔Weinberg (2013), pp. 24, 28, 31.〕 These various eponyms are far from standard; they are used only sporadically, neither regularly nor very widely. They refer to a formula integral to quantum mechanics, which states that the energy of a photon, , is proportional to its frequency, :
:E = h \nu
The constant of proportionality, , is known as the Planck constant. Several equivalent forms of the relation exist.
The relation accounts for quantized nature of light, and plays a key role in understanding phenomena such as the photoelectric effect, and Planck's law of black body radiation. See also the Planck postulate.
==Spectral forms==
Light can be characterized using several spectral quantities, such as frequency , wavelength , wavenumber \scriptstyle\tilde, and their angular equivalents (angular frequency , angular wavelength , and angular wavenumber ). These quantities are related through
:\nu = \frac = c \tilde \nu = \frac = \frac = \frac,
so the Planck relation can take the following 'standard' forms
:E = h \nu = \frac = h c \tilde \nu,
as well as the following 'angular' forms,
:E = \hbar \omega = \frac = \hbar c k.
The standard forms make use of the Planck constant . The angular forms make use of the reduced Planck constant . Here is the speed of light.

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