Measurement problem quantum mechanics

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Ashish Somwanshi

Poster has been reminded to always show their work on schoolwork problems that they post

Homework Statement: Suppose there are two quantum mechanical observables c and d represented by operators C and D respectively. Both operators have two eigenstates, ϕ1 and ϕ2 for C and ψ1 and ψ2 for D. Furthermore , the two sets of eigenstates are related to each other as below

ϕ1=1/13(5ψ1+12ψ2)
ϕ2=1/13(12ψ1−5ψ2)

The system was found to be in state ϕ1 initially.

If we measure D, what is the probability of finding the system in ψ2?

Is the answer 0.748?

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