Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revisionPrevious revision
Next revision		Previous revision
blackbody_radiation [2021/01/29 23:05] – [1.ii.2 The Blackbody Spectrum] adminblackbody_radiation [2021/01/29 23:06] (current) – [1.ii.4 The Quantum Postulate] admin
Line 62: Line 62:
  
   * Rayleigh considered the statistical mechanics of radiation and derived   * Rayleigh considered the statistical mechanics of radiation and derived
-  \[\boxed{u(\nu,T) = \frac{8\pi \nu^2}{c^3} k T}.\]+  \[\boxed{u(\nu,T) = \frac{8\pi \nu^2}{c^3} k T.}\]
   * This only works for small $\nu$.   * This only works for small $\nu$.
   * Ultraviolet catastrophe: Total intensity $\int_{-\infty}^{\infty} u(\nu,T)\,\mathrm{d}\nu$ diverges for high frequency.  Implies that the cavity contains infinite energy   * Ultraviolet catastrophe: Total intensity $\int_{-\infty}^{\infty} u(\nu,T)\,\mathrm{d}\nu$ diverges for high frequency.  Implies that the cavity contains infinite energy
Line 87: Line 87:
 This is the //**quantum postulate**//. This is the //**quantum postulate**//.
  
-Since not everyone taking this class has studied statistical mechanics yet, the derivation of this is beyond the scope of this course, but see [[http://disciplinas.stoa.usp.br/pluginfile.php/48089/course/section/16461/qsp_chapter10-plank.pdf|this link]] for a derivation.+Since not everyone taking this class has studied statistical mechanics yet, the derivation of the Planck distribution from the quantum postulate is beyond the scope of this course, but see [[http://disciplinas.stoa.usp.br/pluginfile.php/48089/course/section/16461/qsp_chapter10-plank.pdf|this link]] for a derivation.
  
 ====== 1.ii.5 Wien's Displacement Law ====== ====== 1.ii.5 Wien's Displacement Law ======