Problem 3.27 Sequential measurements. An operator Ä, representing observ-able A, has two normalized eigenstates 1 and 2, with eigenvalues a1 and a2,respectively. Operator B, representing observable B, has two normalized eigen-states ø1 and ø2, with eigenvalues b1 and b2. The eigenstates are related by= (3ø1 + 402)/5, 42 = (401 –302)/5.(a) Observable A is measured, and the value aj is obtained. What is the state ofthe system (immediately) after this measurement?(b) If B is now measured, what are the possible results, and what are theirprobabilities?(c) Right after the measurement of B, A is measured again. What is the proba-bility of getting a¡? (Note that the answer would be quite different if I hadtold you the outcome of the B measurement.)

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Answered: Problem 3.27 Sequential measurements.…

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please provide detailed solution for a to c, thank you
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