Jd. Bekenstein et M. Schiffer, UNIVERSALITY IN GRAY-BODY RADIANCE - EXTENDING KIRCHHOFF LAW TO THE STATISTICS OF QUANTA, Physical review letters, 72(16), 1994, pp. 2512-2515
An ideal grey body is a macroscopic object with definite temperature w
hich absorbs only a fraction of the radiation incident on it. Assuming
that a grey body always emits in a mixed state, and that the radiatio
n density matrix factors into matrices for the various frequency modes
, we employ general arguments to derive the complete statistics of gre
y-body radiance elicited by incident radiation. These depend only on t
he temperature and the absorptivities for the various frequencies (hen
ce are of universal form), and coincide with the statistics of black-h
ole radiance first derived a decade and a half ago.