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Consider the Hamiltonian Ĥ=h[l1)(3\+|3)(1|]+ g|IX¢\- (1|=(1,0,0), (2|= (0,1,0), (3|=(0,0,1) with a) Obtain eigenvalues and eigenvectors. b) Calculate the expected value of the Hamiltonian for |0) =|2)+|3) c) If the system at t = 0 is in the state |1) what will its function be at time t?
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Transcribed Image Text:Consider the Hamiltonian Ĥ=h[l1)(3\+|3)(1|]+ g|IX¢\- (1|=(1,0,0), (2|= (0,1,0), (3|=(0,0,1) with a) Obtain eigenvalues and eigenvectors. b) Calculate the expected value of the Hamiltonian for |0) =|2)+|3) c) If the system at t = 0 is in the state |1) what will its function be at time t?
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