Piero Chiarelli. Is the quantum hydrodynamic analogy more general than the Schrodinger approach?
Submitted on: Jun 25, 2012, 10:14:28
Natural Sciences / Physics / Quantum field theory
Description: The quantum hydrodynamic analogy (QHA) equivalent to the Schrodinger 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 Schrodinger equation given by Kostin  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 Schrodinger approach breaks down and that the states described by the QHA do not have their corresponding ones into the Schrodinger description.
The full-text article has been published in the "IntellectualArchive" journal , Vol.1, Num.2, June 2012, ISSN 1929-4700.
The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.
To read the article posted on Intellectual Archive web site please click the link below.
The QHA as deterministic limit of a SDE.pdf