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Abstract: It is shown that the Bohm equations for the phase $S$ and squared modulus$ ho$ of the quantum mechanical wave function can be derived from theclassical ensemble equations admiting an aditional momentum $p s$ of the formproportional to the osmotic velocity in the Nelson stochastic mechanics andusing the variational principle with appropriate change of variables. Thepossibility to treat grad$S$ and $p s$ as two parts of the momentum of quantumensemble particles is considered from the view point of uncertainty relationsof Robertson - Schroedinger type on the examples of the stochastic image ofquantum mechanical canonical coherent and squeezed states.

Autor: D.A. Trifonov, B.A. Nikolov, I.M. Mladenov

Fuente: https://arxiv.org/

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