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Momentum and Uncertainty Relations in the Entropic Approach to Quantum Theory
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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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The Entropic Dynamics approach to Quantum Mechanics
Requiring the entropic dynamics of a probability density and phase to preserve both symplectic and information-geometric structures yields the linear Schrödinger equation.
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