Consider the Hamiltonian i=l with (1|=(1,0,0), (2|=(0,1,0), (3|=(0,0,1) a) Obtain eigenvalues and eigenvectors. b) Calculate the expected value of the Hamiltonian for |ø) =|2)+|3) c) If the system at t = 0 is in the state |1) what will its function be at time t?
Consider the Hamiltonian i=l with (1|=(1,0,0), (2|=(0,1,0), (3|=(0,0,1) a) Obtain eigenvalues and eigenvectors. b) Calculate the expected value of the Hamiltonian for |ø) =|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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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65694bfc-e620-4a4d-a121-bcb6e5060fb0%2Fcad2074f-f112-459b-b3da-0f4c1eb2e0ff%2Fcabzptf_processed.jpeg&w=3840&q=75)
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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