Related papers: Mean Value of the Quantum Potential and Uncertainty Relations

Mean Value of the Quantum Potential and Uncertainty Relations

URL: http://arxiv.org/abs/2002.01507v2
Date: Thu, 7 May 2020 16:33:16 GMT
Title: Mean Value of the Quantum Potential and Uncertainty Relations
Authors: F. Nicacio, and F.T. Falciano
Abstract summary: In this work we determine a lower bound to the mean value of the quantum potential for an arbitrary state. We derive a generalized uncertainty relation that is stronger than the Robertson-Schr"odinger inequality and hence also stronger than the Heisenberg uncertainty principle.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In this work we determine a lower bound to the mean value of the quantum potential for an arbitrary state. Furthermore, we derive a generalized uncertainty relation that is stronger than the Robertson-Schr\"odinger inequality and hence also stronger than the Heisenberg uncertainty principle. The mean value is then associated to the nonclassical part of the covariances of the momenta operator. This imposes a minimum bound for the nonclassical correlations of momenta and gives a physical characterization of the classical and semiclassical limits of quantum systems. The results obtained primarily for pure states are then generalized for density matrices describing mixed states.

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