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 D₁ are defined by: i 0 H = ħwo -i 30 0 02 " 7 B÷bo -i i 1- i 7 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)) e₂(0) (€31 (0) -(0) 6 D = = 0 0 2a 0 2a 0 2a 0 -За Q: After measuring the energy and leaving the system in the ground state, D was measured. What are the possible values of AD?
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 D₁ are defined by: i 0 H = ħwo -i 30 0 02 " 7 B÷bo -i i 1- i 7 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)) e₂(0) (€31 (0) -(0) 6 D = = 0 0 2a 0 2a 0 2a 0 -За Q: After measuring the energy and leaving the system in the ground state, D was measured. What are the possible values of AD?
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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))
e3 (0))
D =
1-0
=
0 0 2a
0 2a 0
2a 0
-3a
Q: After measuring the energy and leaving the system in the
ground state, Ô was measured. What are the possible values of
AD?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7884b924-5cdd-48a3-9dc8-094cb1f0ef41%2Fc1ba6097-29c6-4e41-8423-f8d7f60035ec%2Focpmgyp_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))
e3 (0))
D =
1-0
=
0 0 2a
0 2a 0
2a 0
-3a
Q: After measuring the energy and leaving the system in the
ground state, Ô was measured. What are the possible values of
AD?
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