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Operator in three level system -- Eigenvalues/Eigenvectors

  1. Apr 11, 2017 #1
    There is an operator in a three-state system given by:

    2 0 0
    A_hat = 0 0 i
    0 -i 0

    a) Find the eigenvalues and Eigenvectors of the operator
    b) Find the Matrix elements of A_hat in the basis of the eigenvectors of B_hat
    c) Find the Matrix Elements of A_hat in the basis vectors given by

    1 0 0
    |e1) = 0 , |e2) = 1 , |e3) = 0
    0 0 1
     
  2. jcsd
  3. Apr 11, 2017 #2
    $300 and I can solve this.
     
    Last edited: Apr 11, 2017
  4. Apr 11, 2017 #3

    PeterDonis

    User Avatar
    2016 Award

    Staff: Mentor

    Moderator's note: Moved to homework forum.
     
  5. Apr 11, 2017 #4
    Something went wrong with the formatting but the operator is
    2,0,0
    0,0,i
    0,-i,0

    And the 3 vectors respectively are
    1
    0
    0

    0
    1
    0

    0
    0
    1​
     
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