Can we derive quantification of energy mathematically?

[svletana]

I'm studying for my introduction to modern physics exam, and reading about the ultraviolet catastrophe and why equipartition theorem stops working to explain blackbody emissions for high frequencies I was thinking if we could use the theorem to arrive at the quantification of energy (probably the answer is no).

I remember my professor saying that at some point we'll learn how we can arrive at the quantification of energy from some hypotheses, but I don't remember what that was.

Thanks!

 

[Nugatory]

Quantization of energy appears when you solve Schrodinger's equation in many problems We can only guess at what your professor was thinking, but there's a fair chance that that's what it was.

 

[houlahound]

Is it correct to say resonance in a classical mechanical or electrical system is quantisation of energy?

 

[svletana]

Quantization of energy appears when you solve Schrodinger's equation in many problems We can only guess at what your professor was thinking, but there's a fair chance that that's what it was.

You're right, Thank you!

 

[DrClaude]

Is it correct to say resonance in a classical mechanical or electrical system is quantisation of energy?

No. The system can have any value of energy. Resonances are related to the transfer of energy, not it's amount.

 

[houlahound]

Makes sense, I have always held the analogy when looking at atomic spectra as that of striking a bell with a hammer and looking at the non transient part of the ringing bell's frequency spectrum.

Can you help with the analogy if it is not OT.

 

[bhobba]

Its deep, beautiful and powerful:


Mostly it is quantisised but the why will take you on a VERY interesting journey.

Thanks
Bill

 

[houlahound]

Unfortunately my phone overheats and shuts down after 20mins of YouTube so yet to watch the second half. That lecturer is a clever, passionate and gentle teacher. Gonna follow his clips.

Thanks for a great link.