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Consider a physical system whose

Consider a physical system whose

Advanced Engineering Mathematics
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: 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 : The operator Dwas then measured at time t + 0. What is <D> + AD?
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 : The operator Dwas then measured at time t + 0. What is <D> + AD?
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