Consider a physical system whose three-dimensional statespace is spanned by the orthonormal basis formed by the threekets {Je1>, Je2>, Je3>}. In the basis of these three vectors, takenin this order, the Hamiltonian H and the two operators B^ andD^ are defined by:3i 07i1- i2aH= hwo-i 3 0B= bo-i71 +2a0.0 21+i 1-i6.2a-3awhere wo and bo are constants. Also using this ordered basis,the initial state of the system is given by:(ei|#(0)(e2l 4(0)e3| v(0))|v(0)) =3Suppose that the initial state |U(0)> was left to evolve until t + 0.Q: After measuring operator D , the operator B wasmeasured. What are the possible values of AB?

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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 -i 3 0 0 2 3 i 1- i 0. 2a - hwo B= bo -i 7 1+i D= 0. 2a 0. 0. 1+i 1-i 2a 0. -3a where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: (e1|v(0)) | (0)) = 3 (e3] v(0)) 6.

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 -i 3 0 0 2 3 i 1- i 0. 2a - hwo B= bo -i 7 1+i D= 0. 2a 0. 0. 1+i 1-i 2a 0. -3a where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: (e1|v(0)) | (0)) = 3 (e3] v(0)) 6.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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
-i
7
1 +
2a
0.
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:
(ei|#(0)
(e2l 4(0)
e3| v(0))
|v(0)) =
3
Suppose that the initial state |U(0)> was left to evolve until t + 0.
Q: After measuring operator D , the operator B was
measured. What are the possible values of AB?

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