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I know that time-reversal of a reaction and the detailed balance (microreversed, or reciprocal) reaction are different. Textbooks on scattering theory explain how to relate the S-matrix elements of a two reactions that are related by time-reversal.

But how does the microreversed amplitude fit in (is it another element of the S-matrix), and how is it related to the non-reversed amplitude? Is there an overall phase, and so on...?

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