Momentum and Uncertainty Relations in the Entropic Approach to Quantum Theory

Details Momentum and Uncertainty Relations in the Entropic Approach to Quantum Theory Momentum and Uncertainty Relations in the Entropic Approach to Quantum Theory

2011-08-10

arxiv.org/abs/1108.2629v1

Physics

Quantum Physics

Presented at MaxEnt 2011, the 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Eng

Scientific paper

In the Entropic Dynamics (ED) approach to quantum theory the particles have well-defined positions but since they follow non differentiable Brownian trajectories they cannot be assigned an instantaneous momentum. Nevertheless, four different notions of momentum can be usefully introduced. We derive relations among them and the corresponding uncertainty relations. The main conclusion is that momentum is a statistical concept: in ED the momenta are not properties of the particles; they are attributes of the probability distributions.

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