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Transformation of energy space to momentum space

  1. Oct 1, 2008 #1
    I have learnt that to transform from one space to another, we can use
    g(e) = g(p)/f’, where de/dp = f’

    Can we use this relation to transform wavefunctions of energy space to momentum space?
    If not, why?
    If so, that's very strange as E= p^2/2m and dE/dp= p/m and put into
    |psi>=exp(iEt/hbar) ==>|psi>= exp(ipt/mhbar)??
  2. jcsd
  3. Oct 1, 2008 #2
    phase space has three dimensions and momentum space has three dimensions. So, transformation is possible. Energy space is one dimensional, so ... it is not possible.
  4. Oct 2, 2008 #3
    I see.. Thanks.. So can I do the same for position space and momentum space as they both have three dimensions?
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