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What is the density of states?

  1. Jan 4, 2012 #1
    I know its number of states per unit energy but what happens in the case of continuous energy?
     
  2. jcsd
  3. Jan 4, 2012 #2
    The density of states at an energy E in the continuous case is the amount of states between the energies E and E+dE. It's a distribution, much like a continuous probability distribution. In a continuous probability distribution the probability of any SPECIFIC event is 0 since the probability is 1/N (where N is the number of possibilities, which is infinite in a continuous distribution). It's only in the context of an integral OVER A RANGE of possibilities that you get a finite probability. Same with the density of states, in the continuum limit it can really only be interpreted within an integral.
     
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