Mean Value of the Quantum Potential and Uncertainty Relations
| Autor: | Nicacio, F., Falciano, F. T. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 101, 052105 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.101.052105 |
| Popis: | 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. Comment: 15 pages, 2 figures |
| Databáze: | arXiv |
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