3. The eigenfunctions (n) for an operator Q can be expressed in terms of eigenfunctions (Xn) for a second operator R. X1+2X2 Φι = √5 2X1 X2 == √5 If the Xs are orthonormal, show that the ps are too. Express the xs in terms of the ops. The observable corresponding to Q is measured and found to be q₁, if the observable corresponding to R is then measured and then that for Q measured again, what is the probability that q₁ is obtained for a second time?
3. The eigenfunctions (n) for an operator Q can be expressed in terms of eigenfunctions (Xn) for a second operator R. X1+2X2 Φι = √5 2X1 X2 == √5 If the Xs are orthonormal, show that the ps are too. Express the xs in terms of the ops. The observable corresponding to Q is measured and found to be q₁, if the observable corresponding to R is then measured and then that for Q measured again, what is the probability that q₁ is obtained for a second time?
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Transcribed Image Text:3. The eigenfunctions (n) for an operator Q can be expressed in terms of
eigenfunctions (Xn) for a second operator R.
X1+2X2
Φι
=
√5
2X1 X2
==
√5
If the Xs are orthonormal, show that the ps are too.
Express the xs in terms of the ops.
The observable corresponding to Q is measured and found to be q₁, if the
observable corresponding to R is then measured and then that for Q measured
again, what is the probability that q₁ is obtained for a second time?
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