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Homework Help: Finding a matrix representation of a Hamiltonian.

  1. May 31, 2016 #1
    1. The problem statement, all variables and given/known data
    The Hamiltonian H for a certain physical quantum mechanical system has three eigenvectors {|v1>, |v2>, |v3>} satisfying:
    H|vj> = (2-j)a|vj>

    Write down the matrix representing H in the representation {|v1>, |v2>, |v3>} .

    2. Relevant equations

    3. The attempt at a solution
    I though the Hamiltonian would just be the eigenstates along the diagonal, however this seems too simple.
    a 0 0
    0 0 0
    0 0 -a​
  2. jcsd
  3. May 31, 2016 #2


    User Avatar
    Science Advisor
    Homework Helper

    That's correct.
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