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Quantum measurements of time
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We propose a time-of-arrival operator in quantum mechanics by conditioning on a quantum clock. This allows us to bypass some of the problems of previous proposals, and to obtain a Hermitian time of arrival operator whose probability distribution arises from the Born rule and which has a clear physical interpretation. The same procedure can be employed to measure the "time at which some event happens" for arbitrary events (and not just specifically for the arrival time of a particle).
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Scattering Cross Section Formula Derived From Macroscopic Model of Detectors
The usual quantum scattering cross-section formula is derived as the actual detection distribution from imaginary-potential and repeated-measurement detector models in the far-field limit.
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