Chapter3_14

# Chapter3_14 - n = 0, 1, 2, where f is the frequency of the...

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PHY3063 R. D. Field Department of Physics Chapter3_14.doc University of Florida Quantum Number Planck’s Theory (1) On December 14, 1900 , Max Planck presented a derivation of the “Black- Body” radiation law at a meeting of the German Physical Society. Planck made the following “ad-hoc” assumption: An oscillator of natural frequency, f, can take up or give off energy only in parcels (or bunches) of magnitude E = hf, where h is a new fundamental constant of nature. Any physical entity whose single “coordinate” executes simple harmonic oscillations can posses only total energies E n which satisfy the relation E n = nhf , with
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Unformatted text preview: n = 0, 1, 2, where f is the frequency of the oscillation and h is a universal constant. E 0 Energy Levels smooth &amp; continuous Classical E 0 Energy Levels quantized Planck New Black-Body Calculation: The prediction for (T,f) still consists the following two pieces: ( ) &gt; &lt; = E V df f N df f T ) ( ) , ( . (energy/volume) = (number of modes/volume) (ave energy/mode) where df c Vf df f N 3 2 8 ) ( = , but now we have a different &lt;E&gt; . Classically &lt;E&gt; = kT, but Plancks assumption that the energy levels are quantized changes &lt;E&gt;. Birthday of Quantum Physics! Quantum States...
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