arXiv:1205.6131

Is the quantum hydrodynamic analogy more general than the Schroedinger approach?

Piero Chiarelli

Published May 28, 2012• 1 citation

Abstract

The quantum hydrodynamic analogy (QHA), equivalent to the Schrödinger equation, is investigated and extended to the stochastic case. The investigation shows that in addition to reproducing the standard quantum mechanics the QHA model is able to generally describe the quantum stochastic dynamics leading to the dissipative Schrödinger equation given by Kostin [55] as a particular case. The inspection shows that the QHA is well suited for the treatment of problems where local noise (spatially distributed one) is introduced. In this case the analysis shows that the bi-univocal correspondence between the QHA and the Schrödinger approach breaks down and that the states described by the QHA do not have their corresponding ones into the Schrödinger description.

DOI: 10.48550/arxiv.1205.6131

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