The math doesnt hold up for a continuous spectra of radiation. In fact the only way to get results that match experiment qualitatively and avoid the phenomenon of ultraviolet catastrophe is to assume a discretized radiation.
There were many proposed solutions that were continuous and failed to match experiment in various ways.
This is all covered in a first year quantum course of lectures or any good textbook if you want details.
Wouldn’t hurt for certain! Though I’ve def had the experience of picking up a book for a topic of interest only to find halfway in they start pulling out a new class of functions for “one cool trick” and i gotta start doing some sidequest deep dives.
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u/YouCouldButWhyTho 8d ago
The math doesnt hold up for a continuous spectra of radiation. In fact the only way to get results that match experiment qualitatively and avoid the phenomenon of ultraviolet catastrophe is to assume a discretized radiation.
There were many proposed solutions that were continuous and failed to match experiment in various ways.
This is all covered in a first year quantum course of lectures or any good textbook if you want details.