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Density of States Derivation -

  1. Jan 17, 2012 #1
    Density of States Derivation -urgent

    1. The problem statement, all variables and given/known data

    Capture-4.png


    2. Relevant equations

    λ=h/Px (Px = x momentum)

    L/λ=nx

    3. The attempt at a solution

    A summarized derivation from the lecturer has proven to be problematic when revising:

    as same in xyz direction just cube one direction

    L.Px = H.nx [if nx =1

    L.dpx=H

    [xyz direction

    L^3.dpx.dpy.dpz=h^3

    it then jumps to sphere range of momentum v=4/3.∏.R^3

    note _p = bar p ( a p with a line ontop)

    _p to _p + d_p

    r= _p

    N(p)dp = (2(4∏._p^2.d_p))/h^3


    Could someone please help.

    Thanks. Jack
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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