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Why is absorption and emission of discontinuous atomic spectrum become continuous spectrum by Plank's radiation law?

In many textbooks of quantum mechanics often seen, Plank's radiation law is derived by the original method assuming a group of harmonic oscillators, or classical electromagnetic field with harmony oscillators.

 * How could Plank's radiation law be explained by modern theory?
 * Why does absorption and emission of discontinuous atomic spectra become continuous spectra?
 * Is the cavity shining or is the space shining?

 I would like to know these for many years.

 Finally, concerning the first question, I found that Plank's radiation law has been derived from the point of view of quantum field theory from Chapter 2, Section 4, page 56 of "Sakurai Advanced Quantum Mechanics,  Radiation and Particles". 

 I will decide to understand this as one target.

 However, the second question seemed not answered here. The reason is because it is described as "Next, let's consider enclosing the radiation field with an ideal ‘black wall’. The wall contains various atoms and is capable of absorbing and releasing photons with arbitrary energy."

 Why could we think like this? I understand that any object, especially in high temperature gases, is performing thermal radiation in this spectrum, but it seems to contradict this assumption. 

 I would like to continue my research and study.



サクライ上級量子力学〈第1巻〉輻射と粒子
J.J.サクライ
丸善プラネット
売り上げランキング: 510,396

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