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quant-ph2024★ 8 cited
Time-of-arrival distributions for continuous quantum systems and application to quantum backflow
Mathieu Beau, Maximilien Barbier, Rafael Martellini +1
Using standard results from statistics, we show that for any continuous quantum system (Gaussian or otherwise) and any observable (position or otherwise), the distrib…
quant-ph2024
On the mutual exclusiveness of time and position in quantum physics and the corresponding uncertainty relation for free falling particles
Mathieu Beau, Lionel Martellini
The uncertainty principle is one of the characteristic properties of quantum theory, where it signals the incompatibility of two types of measurements. In this paper, we argue that…