Problem 3 An operator Â, representing observable A, has two (normalized) eigenstates |a₁) and [a2), with eigenvalues a₁

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Problem 3 An Operator A Representing Observable A Has Two Normalized Eigenstates A And A2 With Eigenvalues A 1 (82.37 KiB) Viewed 12 times

Problem 3 An operator Â, representing observable A, has two (normalized) eigenstates |a₁) and [a2), with eigenvalues a₁ and a2, respectively. Operator Ê, representing observable B, has two (normalized) eigenstates [6₁) and |b2), with eigenvalues b₁ and b2, respectively. The eigenstates are related by 3 4 |a₁) = |b₁) + = 16₂ 5 (62), 4 |a₂) = 1/31/0₁) - 13/1/16₂2) |b₂). 5 (5) Suppose) is a state such that, when measuring A, the probability of getting a₁ is 3/4. For the same state ), what is the probability of getting b₁ and b2 when measuring B? With the given information, is this probability uniquely determined?