The question in the title may be answered by considering the outcome of a ``weak measurement'' in the sense of Aharonov, Albert, and Vaidman. Various properties of the resulting time are discussed, including its close relation to the Larmor times. It is a universal description of a broad class of measurement interactions, and its physical implications are unambiguous.
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Aephraim M. Steinberg (1995) studied this question.
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