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From the book Quantum Measurement by Vladimir B. Braginsky and Farid Ya.Khalili

How do they go from 5.18 to 5.19?

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user32462
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See Qmechanic's discussion (especially point III) from a related thread on physics.SE.

The SE robot thinks my answer is trivial and relegated it to a comment, so I'm adding more words to foil its interference. You should be able to find what you need in Qmechanic's post.