Problem

The Hamiltonian for a certain two-level system iswhere ,  is an orthonormal basis and ϵ is...

The Hamiltonian for a certain two-level system is

where ,  is an orthonormal basis and ϵ is a number with the dimensions of energy. Find its eigenvalues and eigenvectors (as linear combinations of  and ). What is the matrix H representing  with respect to this basis?

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Solutions For Problems in Chapter 3