Quantum interference of position and momentum: a particle propagation paradox
arXiv:1706.04286 · doi:10.1103/PhysRevA.96.020101
Abstract
Optimal simultaneous control of position and momentum can be achieved by maximizing the probabilities of finding their experimentally observed values within two well-defined intervals. The assumption that particles move along straight lines in free space can then be tested by deriving a lower limit for the probability of finding the particle in a corresponding spatial interval at any intermediate time t. Here, it is shown that this lower limit can be violated by quantum superpositions of states confined within the respective position and momentum intervals. These violations of the particle propagation inequality show that quantum mechanics changes the laws of motion at a fundamental level, providing a new perspective on causality relations and time evolution in quantum mechanics.
arXiv comment6 pages, including one figure, added discussions of experimental possibilities and the selection of localized states
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- Quantum causality relations and the emergence of reality from coherent superpositions
- How to put quantum particles on magic bullet trajectories that can hit two targets without a clear line-of-sight
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