Finding a matrix representation of a Hamiltonian.

  • #1

Homework Statement


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>} .

Homework Equations




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​
 

Answers and Replies

  • #2
blue_leaf77
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That's correct.
 
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