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Wave func.

  1. Nov 14, 2008 #1
    1. The problem statement, all variables and given/known data

    if we have the particle ins free its hamiltonian has a continuous spectrum of eigen enegies and superposition of arbitrary initial state in eigenstates φ_k of H( hamiltonian oprator) becomes ∫_(-∞)^∞▒〖b(k) φ_k dk〗,what is the dimemension of b(k) (lb(k)l^2 is a probability density)? where k is wave nomber.

    2. Relevant equationsquantum mechanics by liboff chapter 5



    3. The attempt at a solution lb(k)l^2 dimensions is 1/k because ∫_(-∞)^∞▒〖b(k)^2dk〗=1
     
  2. jcsd
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