Posted by MRH on June 14, 2014, 7:51 pm, in reply to "Phonons"
The number of phonons is the integral
N = Int [ g(w)n(w) d w ]
Where g(w) is the number of modes between w, w + d w and n(w) is the bose average occupation factor of an energy level for a particle with no chemical potential (think photons- there is no conservation law).
If that doesn't help, then write down what you would do if the particles were fermions, then remember that phonons are bosons, and follow the same procedure as you used for the fermions.
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