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Diagonalize operator A by matrix S

  1. Sep 20, 2010 #1
    Suppose, i want to diagonalize operator A by matrix S (A'= S^\\dagger A S). Do i need to form S from "NORMALIZED" eigenvectors? I checked and found that even S formed from not-normalized eigenvectors works.
     
  2. jcsd
  3. Sep 20, 2010 #2
    Re: diagonalization

    If S isn't normalized, you will get a diagonal matrix. However, the diagonal elements of the matrix will not be the eigenvalues of A.
     
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