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Consider a two-level Hamiltonian Ĥ with orthonormal energy eigenstates |1) and |2). In terms of |1) and |2), let Ĥ be given by Ĥ = E ( 1)(1| – |2) (21 ) + E1( |1)(2| + |2)(1]), where Eo and E, are positive constant with units of energy. Diagonalize this Hamiltonian and write down its energy eigenvalues in terms of Eo and E1.
Transcribed Image Text:Consider a two-level Hamiltonian Ĥ with orthonormal energy eigenstates |1) and |2). In terms of |1) and |2), let Ĥ be given by Ĥ = E ( 1)(1| – |2) (21 ) + E1( |1)(2| + |2)(1]), where Eo and E, are positive constant with units of energy. Diagonalize this Hamiltonian and write down its energy eigenvalues in terms of Eo and E1.
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