Question: If two operators act on a wave function as indicated by AÌBÌ f(x), it is important to carry out the operations in succession, with the
If two operators act on a wave function as indicated by AÌBÌ f(x), it is important to carry out the operations in succession, with the first operation being that nearest to the function. Mathematically, AÌBÌ f(x) = AÌ(BÌf (x)) and AÌ2f (x) = AÌ (AÌ f (x)). Evaluate the following successive operations AÌ BÌ f(x). The operators AÌ and BÌ are listed in the first and second columns and f(x) is listed in the third column. Compare your answers to parts (a) and (b), and to (c) and (d).
a.
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b.
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c.
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d.
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dx dx
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