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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: () 3 i 0 7 i 1- i 0. 2a B= bo H= hwo -i 3 0 0 2 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: (e1/&(0)) (e2| »(0)) e3| 2(0)) |#(0)) = 6. Suppose that the initial state ly(0)> was left to evolve until t # 0. Q: Q: State an uncertainty principle for ABAD. Justify your answer.

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 0. 2a B= bo H= hwo -i 3 0 0 2 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: (e1/&(0)) (e2| »(0)) e3| 2(0)) |#(0)) = 6. Suppose that the initial state ly(0)> was left to evolve until t # 0. Q: Q: State an uncertainty principle for ABAD. Justify your answer.

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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: 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: Q: State an uncertainty principle for ABAD. Justify your answer.
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: 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: Q: State an uncertainty principle for ABAD. Justify your answer.
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