Hamiltonian two-level system A Hamiltonian for a certain two-level system isĤ = E(|1)(1| – |2)(2| +|1)(2| + |2)X1)where the kets |1) and |2) are the spin-up and spin-down eigenvectors of S2, respectively. E is a constant withthe units of energy.a) Find the matrix representation of the Hamiltonian in the basis |1) and |2).b) Find the energy levels of this two-level systemc) Find the energy eigenstates of this two-level system

Given Hamiltonian for a two level system to find a- matrix representation of hamiltonian in the…

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