Consider the system Ĥ = aơ₂ in the Heisenberg picture, where a is a constant. With initials condition ₂ (t = 0) = σ₂ and σ₁(t = 0) = y, which one of the following gives σ₂ (t) at ime t? O a. σ₂ sin (2) + ₂ cos (2²) O b. ₂ cos (2) - o, sin (2) OC. ₂ sin(at) - oy Cos (2) O d. ₂ cos (2) +σy sin (2) O e. 0₂

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Consider the system Ĥ ao in the Heisenberg picture, where a is a constant. With initials condition (t = 0) = ₁ and oy (t = 0) = oy, which one of the following gives σ (t) at
time t?
O a. o sin (2) +o, cos (2)
O b. σ cos (at) - σy sin (24t)
O C. σ sin (at) - σy cos (2)
O d. σ cos (2) + y sin (²)
O e. ₂
Transcribed Image Text:Consider the system Ĥ ao in the Heisenberg picture, where a is a constant. With initials condition (t = 0) = ₁ and oy (t = 0) = oy, which one of the following gives σ (t) at time t? O a. o sin (2) +o, cos (2) O b. σ cos (at) - σy sin (24t) O C. σ sin (at) - σy cos (2) O d. σ cos (2) + y sin (²) O e. ₂
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