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Normalization of a function

  1. May 20, 2008 #1
    1. The problem statement, all variables and given/known data

    I have normalized the following function:

    [tex] Q=\int (1-y^2) dx dy [/tex]

    2. Relevant equations

    using the expression for the normalization

    [tex] \vert N \vert ^2 \vert \int Q^* Q dx dy \vert^2 =1 [/tex]

    3. The attempt at a solution

    then I obtained

    [tex] \int Q^* Q dx dy = x (y- y^3 /3) [/tex]


    [tex] N = 1/ x (y- y^3 /3) [/tex]

    but I am not sure if I have done good.
  2. jcsd
  3. May 20, 2008 #2
    You normalize functions over regions in space. The normalization factor should not be a function of anything but perhaps the boundary of the region you're examining.

    And you either stated your function Q incorrectly or you evaluated the double integral incorrectly. Also you stated your normalization equation wrong, you're doubling up on the squaring.

    You need to start over from the beginning.
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