If two operators act on a wave function as indicated by AÌBÌ f(x), it is important to

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If two operators act on a wave function as indicated by AÌ‚BÌ‚ f(x), it is important to carry out the operations in succession, with the first operation being that nearest to the function. Mathematically, AÌ‚BÌ‚ f(x) = AÌ‚(BÌ‚f (x)) and AÌ‚2f (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.

х dx

b.

х dx

c.

d.

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Physical Chemistry

ISBN: 978-0321812001

3rd edition

Authors: Thomas Engel, Philip Reid

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