Quantum hydrodynamics, Wigner transforms, the classical limit
Quantum hydrodynamics, Wigner transforms, the classical limit
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DOI：
10.3233/asy-1997-14201
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发表时间：
1997
影响因子：
1.4
通讯作者：
I. Gasser;P. Markowich
中科院分区：
文献类型：
--
作者：
I. Gasser;P. Markowich
分析了普朗克常数趋于零时量子流体动力学方程的经典极限。方程的形式是具有恒定压力和色散正则化项的欧拉系统，在经典极限中(形式上)趋于零。分析的主要工具是利用量子流体动力学系统背后的动力学方程。本文的分析也可以解释为几何光学(WKB)分析的另一种方法。
We analyse the classical limit of the quantum hydrodynamic equations as the Planck constant tends to zero. The equations have the form of an Euler system with a constant pressure and a dispersive regularisation term, which (formally) tends to zero in the classical limit. The main tool of the analysis is the exploitation of a kinetic equation, which lies behind the quantum hydrodynamic system. The presented analysis can also be interpreted as an alternative approach to the geometrical optics (WKB)-analysis of the Schrequation.