Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis formed by the three kets {|e1>, |e2>, |e3>}. In the basis of these three vectors, taken in this order, the Hamiltonian H^ and the two operators B^ and D^ are defined by: H = ħwo 3 i 0 -i30 0 02 B = bo 7 (1- -i i 1- i 7 1+ i 1+i 1-i 6 (e₁| (0)) €₂(0) (€3] (0) where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: | (0)) = = 236 0 2α Q: What is the expectation value of H at t#0 0 2a 2α 0 0 -3x
Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis formed by the three kets {|e1>, |e2>, |e3>}. In the basis of these three vectors, taken in this order, the Hamiltonian H^ and the two operators B^ and D^ are defined by: H = ħwo 3 i 0 -i30 0 02 B = bo 7 (1- -i i 1- i 7 1+ i 1+i 1-i 6 (e₁| (0)) €₂(0) (€3] (0) where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: | (0)) = = 236 0 2α Q: What is the expectation value of H at t#0 0 2a 2α 0 0 -3x
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![Consider a physical system whose three-dimensional state
space is spanned by the orthonormal basis formed by the three
kets {|e1>, |e2>, |e3>}. In the basis of these three vectors, taken
in this order, the Hamiltonian H^ and the two operators B^ and
D are defined by:
H = ħwo
-i 30
0 02
B = bo
7
i 1-
-i 7 1+i
1+i 1-i 6
| (0)) =
where wo and bo are constants. Also using this ordered basis,
the initial state of the system is given by:
(e₁] (0))
€₂(0))
€3 (0))
-(1)
D =
Q: What is the expectation value of Hat t#0
0 0 2a
0 2a 0
2a 0
-3a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7884b924-5cdd-48a3-9dc8-094cb1f0ef41%2F767f66ac-23ae-4485-86ef-b913e6773f0b%2Fjad089b_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a physical system whose three-dimensional state
space is spanned by the orthonormal basis formed by the three
kets {|e1>, |e2>, |e3>}. In the basis of these three vectors, taken
in this order, the Hamiltonian H^ and the two operators B^ and
D are defined by:
H = ħwo
-i 30
0 02
B = bo
7
i 1-
-i 7 1+i
1+i 1-i 6
| (0)) =
where wo and bo are constants. Also using this ordered basis,
the initial state of the system is given by:
(e₁] (0))
€₂(0))
€3 (0))
-(1)
D =
Q: What is the expectation value of Hat t#0
0 0 2a
0 2a 0
2a 0
-3a
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