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
Transcribed Image Text:a1 + a2
а1 — а2
Cos
E1 – E2
-
-t
2
Transcribed Image Text:|u1) + |u2).
V2
|u1) – |u2)
-
|ø1) :
|#2) =
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