Consider a quantum system with three states and a Hamiltonian given by 1 2ε 0 Ĥ = H₂ 2ε 1 3ε 0 3ε 4 where Ho is a constant and the perturbation parameter is small (ɛ << 1). a. 0). Write down the eigenvalues and eigenvectors of the unperturbed Hamiltonian (e =
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