Did Planck have an intuition behind the idea of energy quantization of atomic oscillators and radiation, or was it just a mathematical trick to derive his distribution law?
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1I think this question belongs more on the history of science and mathematics stack exchange: [hsm.se] – Oct 17 '18 at 16:51
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That's the definition of physics at a fundamental level: tricky ways to translate the world & experimental results into maths. So he was physicizing (not sure about the word). How did newton realize $F=m,a$? That'd be complicated I think...Oh, actually is exists on this site – Oct 17 '18 at 16:54
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Maybe this is what you are looking for: http://www.math.lsa.umich.edu/~krasny/math156_article_planck.pdf – Hugo V Oct 17 '18 at 17:04
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I'll migrate this question to [hsm.se], because it seems to be less about the physical basis of energy quantization than about the thought process Planck used to get there. – rob Oct 17 '18 at 22:27
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He may well have gone down other paths to solve the Ultraviolet Catastrophe problem, but once it's shown to meet experimental data, it becomes a useful tool. Since it's really just a "standing wave" theory, I am not sure it is directly related to quantization of electron levels. – Carl Witthoft Oct 18 '18 at 12:04
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@CarlWitthoft hmm I don't think so, as it is non dependent on the structure, just on T...it doesn't even depends on non uniformities as far as I understand – Oct 18 '18 at 16:30
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1Possible duplicate of How did Planck derive the black body radiation formula without using the Bose statistics? – Francois Ziegler Oct 21 '18 at 18:09
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Possible duplicate of Planck's quantization idea – mgkrebbs May 29 '19 at 04:02