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How do I integrate ψ1(x) / ψ2(x)?

  1. Feb 19, 2010 #1
    1. The problem statement, all variables and given/known data
    Normalise Ψ(x,0) (use the fact that both ψ1 and ψ2 are stationary states).
    Will this wave function be normalised at any later time, t > 0?

    2. Relevant equations
    A particle in an infinite square well of width a has as its initial wave function an even mixture of the first two stationary states,
    Ψ(x, 0) = A(ψ1(x) + ψ2(x)) .


    3. The attempt at a solution
    I get the concept of normalisation I would integrate the square of A(ψ1(x) + ψ2(x)) between 0 and a and equate it to 1.
    I am confused how to integrate ψ1(x) or ψ2(x).
    I see that ψ(n)=(2/L)^0.5 sin(π/L)exp−i(n2π2 ̄h)/2mL2)t
    does the exponential term cancel when I square the complex conjugate?


    Anyway any help would be deeply appreciated, thanks.
     
    Last edited: Feb 19, 2010
  2. jcsd
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