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 ÂB̂ f(x), it is important to carry out the operations in succession, with the first operation being that nearest to the function. Mathematically, ÂB̂ f(x) = Â(B̂f (x)) and Â2f (x) =  ( f (x)). Evaluate the following successive operations  B̂ f(x). The operators  and B̂ 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.

х dx

b.

х dx

c.

dx dx

d.

dx dx

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