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About degeneracy in wikipedia!

  1. Jul 11, 2012 #1
    In Wikipedia this sentence is written about degeneracy;
    In physics, two or more different quantum states are said to be degenerate if they are all at the same energy level. Statistically this means that they are all equally probable of being filled,
    do you agree with the bold statement?
     
  2. jcsd
  3. Jul 11, 2012 #2
    I think this could be correct since the Boltzman distribution is given by:

    $$p(E_i)=\frac{1}{Z}\exp^{-E_i/kT}$$

    so the probability density of finding a particle in two state with the same energy should be the same.
     
  4. Jul 11, 2012 #3

    Bill_K

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    If they are mutually accessible, and the system is in thermodynamic equilibrium. This is the "Postulate of Equal a Priori Probability."
     
  5. Jul 11, 2012 #4
    To me this makes complete sense if you consider that the system is in thermodynamic equilibrium. Think of how it is less likely that particles occupy higher energy levels than lower ones. In
     
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