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Coordinate space and momentum space

  1. Sep 11, 2008 #1
    1. The problem statement, all variables and given/known data

    given A(k)=N/(k2+a2) calculate psi(x) and show that

    (delta k * delta x) > 1

    independent of the choice of a


    3. The attempt at a solution

    I calculated psi(x) to be (N*pi/a)*e-|ax|

    Would it be ok to compute <x> and <x2> in coordinate space and <k> and <k2> in momentum space (which gives me simple multiplication for all my operators) and then find (delta x * delta k) using

    delta x = sqrt(<(x-<x>)>) and delta k = sqrt(<(k-<k>)>) ?

    do i have to transform anything before I do this? How would I do that?

    Thank you
     
  2. jcsd
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