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Eigenfunctions of an operator

  1. Sep 3, 2007 #1
    How can i prove that [tex]u(x)=exp(-x^{2}/2)[/tex] is the eigenfunction of [tex]\hat{A} = \frac{d^{2}}{dx^{2}}-x^2 [/tex]
     
  2. jcsd
  3. Sep 3, 2007 #2
    You should check that

    [tex]\hat{A} u(x)= \lambda u(x) [/tex]

    where [itex] \lambda [/itex] is a constant.

    Eugene.
     
  4. Sep 3, 2007 #3
    Thanks sir.

    thank you i remember it .
     
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