Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis formed by the three kets {Je1>, Je2>, Je3>}. In the basis of these three vectors, taken in this order, the Hamiltonian H^ and the two operators B^ and D^ are defined by: 3 i 0 7 i 1- i 2a H= hwo -i 3 0 B= bo 7 1+i D= 2a 0 2 1+i 1- i 6. 2a -3a where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: (e1|v(0)) (e2] »(0) (e3| v(0) |6(0) ) = 3
Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis formed by the three kets {Je1>, Je2>, Je3>}. In the basis of these three vectors, taken in this order, the Hamiltonian H^ and the two operators B^ and D^ are defined by: 3 i 0 7 i 1- i 2a H= hwo -i 3 0 B= bo 7 1+i D= 2a 0 2 1+i 1- i 6. 2a -3a where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: (e1|v(0)) (e2] »(0) (e3| v(0) |6(0) ) = 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider a physical system whose three-dimensional state
space is spanned by the orthonormal basis formed by the three
kets {Je1>, Je2>, Je3>}. In the basis of these three vectors, taken
in this order, the Hamiltonian H^ and the two operators B^ and
D^ are defined by:
i 0
H= hwo -i 3 0
0 2
3
7
i
1- i
0.
0.
2a
B= bo
7
1+i
D=
2a
0.
1+i 1
- i
6.
2a
-3a
where wo and bo are constants. Also using this ordered basis,
the initial state of the system is given by:
ei| v(0))
e2| v(0)
e3] v(0))
|«(0)) =
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3088407-d92b-45ff-8ac4-2f84d26f317b%2Fd65a5076-26db-49b3-a2bd-bf0cc79dcc2a%2Fexyvz9f_processed.jpeg&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 {Je1>, Je2>, Je3>}. In the basis of these three vectors, taken
in this order, the Hamiltonian H^ and the two operators B^ and
D^ are defined by:
i 0
H= hwo -i 3 0
0 2
3
7
i
1- i
0.
0.
2a
B= bo
7
1+i
D=
2a
0.
1+i 1
- i
6.
2a
-3a
where wo and bo are constants. Also using this ordered basis,
the initial state of the system is given by:
ei| v(0))
e2| v(0)
e3] v(0))
|«(0)) =
3
Transcribed Image Text:Suppose that the initial state |W(0)> was left to evolve until t 0.
Q: State an uncertainty principle for ABAD. Justify your answer.
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