Quantization of energy and ultraviolet catastrophe

[physics user1]

How can the quatization of energy solve the ultraviolet catastrophe?
I tried explanation on internet and on the book but i found nothing, can you help me?

 

[Nugatory]

You will get better answers if you can tell us which parts of the explanations you did understand and where you are getting lost.

 

[physics user1]

You will get better answers if you can tell us which parts of the explanations you did understand and where you are getting lost.

I understood that to the old prediction based on raleight jeans model did not work, but why doesn't work? I saw the graph and of course it's because it doesn't fit the experiments, but how can the quantization explain this? How did plank came to the conclusion that energy was carried in packets?

 

[bhobba]

I understood that to the old prediction based on raleight jeans model did not work, but why doesn't work? I saw the graph and of course it's because it doesn't fit the experiments, but how can the quantization explain this? How did plank came to the conclusion that energy was carried in packets?

It fails for a couple of reasons. If you assume absorption and emission is continuous the math says nothing stops it being infinite as frequency increases - so must be wrong. Plank tried to prove it, failed and resorted to a trick - not taking a limit properly that was basically the assumption energy was exchanged in packets.

You will find a full discussion of the history here:
https://www.amazon.com/dp/1491531045/?tag=pfamazon01-20

But the simplest reason of all was discovered by Bose. Photons are literally indistinguishable meaning if you exchange two of them it makes no difference. This means the normal counting methods used in Statistical Mechanics do not apply. Do it the right way and low and behold you get the right answer.

Interestingly once you get that it's not really an issue in physics - but of probability modelling. It' even explained in Ross's standard book on the subject:
https://www.amazon.com/dp/0123756863/?tag=pfamazon01-20

Thanks
Bill

 

[mpresic]

The most complete explanation I have seen is in a book, From q-numbers to c-numbers, by Darrigol, Be prepared to read several chapters for a complete interesting explanation including correspondence between Planck and Einstein. Otherwise, many introductory QM texts, for example, Powell and Crasemann graze over the explanation