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For a certain system, the operator corresponding to the quantity Aˆ does not commute with the Hamiltonian and also has eigenvalues a1, a2 and eigenfunctions respectively, where | u1⟩ and | u2⟩ are eigenfunctions of the Hamiltonian with eigenvalues E1 and E2. a) If at time t = 0 the system is in the state | φ1⟩, show that the expected value of Aˆ at time t is

For a certain system, the operator corresponding to the quantity Aˆ does not commute with the Hamiltonian and also has eigenvalues a1, a2 and eigenfunctions respectively, where | u1⟩ and | u2⟩ are eigenfunctions of the Hamiltonian with eigenvalues E1 and E2. a) If at time t = 0 the system is in the state | φ1⟩, show that the expected value of Aˆ at time t is

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For a certain system, the operator corresponding to the quantity Aˆ does not commute with the Hamiltonian and also has eigenvalues a1, a2 and eigenfunctions respectively, where | u1⟩ and | u2⟩ are eigenfunctions of the Hamiltonian with eigenvalues E1 and E2. a) If at time t = 0 the system is in the state | φ1⟩, show that the expected value of Aˆ at time t is
a1 + a2 а1 — а2 Cos E1 – E2 - -t 2
Transcribed Image Text:a1 + a2 а1 — а2 Cos E1 – E2 - -t 2
|u1) + |u2). V2 |u1) – |u2) - |ø1) : |#2) =
Transcribed Image Text:|u1) + |u2). V2 |u1) – |u2) - |ø1) : |#2) =
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