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

V.B. Bobrov, S.A. Trigger, G.J.F. Heijst, van, P.P.J.M. Schram

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)
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Abstract

On the basis of the stationary Schrödinger 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.
Original languageEnglish
Article number010102
Pages (from-to)010102-1/3
Number of pages3
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume82
Issue number1
DOIs
Publication statusPublished - 2010

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