Weakly nonlocal fluid mechanics - the Schrodinger equation
Quantum Physics
2015-06-26 v2
Abstract
A weakly nonlocal extension of ideal fluid dynamics is derived from the Second Law of thermodynamics. It is proved that in the reversible limit the additional pressure term can be derived from a potential. The requirement of the additivity of the specific entropy function determines the quantum potential uniquely. The relation to other known derivations of Schr\"odinger equation (stochastic, Fisher information, exact uncertainty) is clarified.
Cite
@article{arxiv.quant-ph/0304062,
title = {Weakly nonlocal fluid mechanics - the Schrodinger equation},
author = {P. Van and T. Fulop},
journal= {arXiv preprint arXiv:quant-ph/0304062},
year = {2015}
}
Comments
major extension and revision