Weakly non-local fluid mechanics:: the Schrodinger equation

被引：8
|
作者：
Ván, P
Fülöp, T
机构：
[1] Res Inst Particle & Nucl Phys, H-1525 Budapest, Hungary
[2] BME, Dept Chem Phys, H-1521 Budapest, Hungary
[3] KEK, Inst Particle & Nucl Studies, Tsukuba, Ibaraki 3050801, Japan
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2006年 / 462卷 / 2066期
关键词：
Korteweg fluids; Liu procedure; Schrodinger equation;
D O I：
10.1098/rspa.2005.1588
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A weakly non-local 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 the Schrodinger equation (stochastic, Fisher information, exact uncertainty) is clarified.
引用
收藏
页码：541 / 557
页数：17
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