Problem 2.1. Let   be an observable operator with a complete set of eigenstates on) with eigenvalues an (n = 0, 1, 2, ...). A generic state is given by |y) = N(3|y₁) — 4i|y2)) where ₁), ₂) are orthonormal. Find N and the probability P4 that a measure- ment of  yields 04. What does it happen in case of degeneracy? Specialize these calculations to the case on) = n).
Problem 2.1. Let   be an observable operator with a complete set of eigenstates on) with eigenvalues an (n = 0, 1, 2, ...). A generic state is given by |y) = N(3|y₁) — 4i|y2)) where ₁), ₂) are orthonormal. Find N and the probability P4 that a measure- ment of  yields 04. What does it happen in case of degeneracy? Specialize these calculations to the case on) = n).
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Transcribed Image Text:Problem 2.1.
Let   be an observable operator with a complete set of eigenstates on) with
eigenvalues an (n = 0, 1, 2, ...). A generic state is given by
|y) = N(3|y₁) — 4i|y2))
where ₁), ₂) are orthonormal. Find N and the probability P4 that a measure-
ment of  yields 04. What does it happen in case of degeneracy? Specialize these
calculations to the case on) = n).
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