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I Can we derive quantification of energy mathematically?

  1. Sep 30, 2016 #1
    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.

  2. jcsd
  3. Sep 30, 2016 #2


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    Staff: Mentor

    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.
  4. Sep 30, 2016 #3
    Is it correct to say resonance in a classical mechanical or electrical system is quantisation of energy?
  5. Sep 30, 2016 #4
    You're right, Thank you!
  6. Sep 30, 2016 #5


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    Staff: Mentor

    No. The system can have any value of energy. Resonances are related to the transfer of energy, not it's amount.
  7. Sep 30, 2016 #6
    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.
  8. Sep 30, 2016 #7


    Staff: Mentor

    Its deep, beautiful and powerful:

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

  9. Sep 30, 2016 #8
    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.
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