Answered: The Hamiltonian of a two level system… | bartleby

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The Hamiltonian of a two level system is given by
Â = Eo[11X(1| − |2)(2|] + E₁[11X2| + |2X(1|]
where [1] and [2) is an orthonormal basis and Eo and E₁ are constants > 0 with units of energy.
(a) Find the eigenvalues and corresponding eigenvectors of Â. Make sure the eigenvectors
are propely normalized.
(b) If at time t = 0, the system starts out in the state
|S (0))
(6)
Find the time evolution of the state of the system at later times, IS (t)).
=

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