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Normalization Constant

  1. Mar 31, 2008 #1
    1. The problem statement, all variables and given/known data

    Consider the electron wave function where x is in nm:

    psi(x)=cx |x|<= 1nm & c/s |x| => 1 nm

    Determine the normalization constant c

    2. Relevant equations

    integral(|psi(x)|^2) dx=1 between infinity and negative infinity

    3. The attempt at a solution

    this may be very far from the real solution but this is what ive tried

    integral{ (cx)^2 dx + (c/x)^2 dx}

    1= integral { (c^2x^2) + (c^2/x^2) }

    c^2 integral{ x^2 + x^-2 }

    (x^3/3 - 1/x)*c^2=1

    integral{ x^3/3 - 1/x }

    im not quite sure where to go from here
  2. jcsd
  3. Mar 31, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    You need to split the integral into two parts, one for |x| in 0-1 nm, the other from |x| in 1 nm to infinity. Then add them.
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