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To find the energy eigenvalues in the 3D Hilbert space

  1. Sep 10, 2017 #1
    A fictitious system having three degenerate angular momentum states with ##\ell=1## is described by the Hamiltonian [tex]\hat H=\alpha (\hat L^2_++\hat L^2_-) [/tex] where ##\alpha## is some positive constant. How to find the energy eigenvalues of ##\hat H##?
     
    Last edited: Sep 10, 2017
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  3. Sep 10, 2017 #2

    Orodruin

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    How would you usually find the eigenvalues of an operator?

    Also, the end tag is [/tex], not [\tex]. Or you can just use double hashes (##) for both tags instead.
     
  4. Sep 10, 2017 #3
    1. I tried to write the matrix form of the operator.
     
  5. Sep 10, 2017 #4

    Orodruin

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    And that looked like? What did you do after that?
     
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