An observable operator A has two normalized eigenstates |Ψ1〉 and |Ψ2〉, with eigenvalues a1 and a2, respectively. The o
Posted: Thu Jun 09, 2022 3:20 pm
An observable operator A has two normalized eigenstates |Ψ1〉 and
|Ψ2〉, with eigenvalues a1 and a2, respectively. The observable
operator B has two normalized eigenstates |Φ1〉 and |Φ2〉, with
eigenvalues b1 and b2, respectively. The eigenstates are related
as follows:
(a) The observable B is measured and the value b1 is obtained.
What is the state of the system immediately after the
measurement?
(b) If the measurement of A is made immediately after the result
of (a), what are the possible results and what are the
probabilities for each of them?
(4₁) = 4|Þ1) + 3|0₂) 5 e |4₂) = 3|Þ₁) — 4|Þ₂) 5
|Ψ2〉, with eigenvalues a1 and a2, respectively. The observable
operator B has two normalized eigenstates |Φ1〉 and |Φ2〉, with
eigenvalues b1 and b2, respectively. The eigenstates are related
as follows:
- 1 (14.54 KiB) Viewed 231 times
What is the state of the system immediately after the
measurement?
(b) If the measurement of A is made immediately after the result
of (a), what are the possible results and what are the
probabilities for each of them?
(4₁) = 4|Þ1) + 3|0₂) 5 e |4₂) = 3|Þ₁) — 4|Þ₂) 5