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Probability of finding the particle

  1. Feb 13, 2012 #1
    1. The problem statement, all variables and given/known data
    The state of a free particle is described by the following wave function.
    phi(x) = 0 for x>-3a
    =c for -3a<x<a
    =0 for x>a
    a) Determine the constant c using the normalization condition.
    b) Find the probability of finding the particle in the interval [0,a]

    2. Relevant equations
    for a , ∫ lphi(x)l ^ 2 dx = 1 (ranging from -∞ to ∞)
    Therefore, I would say c=1 . Am I correct ?

    for b , i know that I need to use this ∫ lphi(x)l ^ 2 dx to find the probability, but I don't the know the equation. Can I use the ψ(x) = (2/L)^1/2 sin n∏x/ L as the equation ?

    3. The attempt at a solution
  2. jcsd
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