Physics – Quantum Physics
Scientific paper
2003-04-09
Proceedings of the Royal Society,London A, 2006, V462, pp541-557
Physics
Quantum Physics
major extension and revision
Scientific paper
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.
Fulop Tamas
Van Peter
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