Virial theorem for an inhomogeneous medium, boundary conditions for the wave functions, and stress tensor in quantum statistics

被引：14
|
作者：
Bobrov, V. B. [1 ]
Trigger, S. A. [1 ,2 ]
van Heijst, G. J. F. [2 ]
Schram, P. P. J. M. [2 ]
机构：
[1] Russian Acad Sci, Joint Inst High Temp, Moscow 125412, Russia
[2] Eindhoven Univ Technol, NL-5600 MB Eindhoven, Netherlands
来源：
PHYSICAL REVIEW E | 2010年 / 82卷 / 01期
关键词：
D O I：
10.1103/PhysRevE.82.010102
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
On the basis of the stationary Schrodinger equation, the virial theorem in an inhomogeneous external field for the canonical ensemble is proved. It is shown that the difference in the form of virial theorem is conditioned by the value of the wave-function derivative on the surface of the volume, surrounding the system under consideration. The stress tensor in such a system is determined by the average values of the wave-function space derivatives.
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页数：3
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