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

doi:10.1103/PhysRevE.82.010102

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

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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 language	English
Article number	010102
Pages (from-to)	010102-1/3
Number of pages	3
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	82
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.82.010102
Publication status	Published - 2010

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10.1103/PhysRevE.82.010102

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abstract = "On the basis of the stationary Schr{\"o}dinger 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.",

author = "V.B. Bobrov and S.A. Trigger and {Heijst, van}, G.J.F. and P.P.J.M. Schram",

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Virial theorem for an inhomogeneous medium, boundary conditions for the wave functions, and stress tensor in quantum statistics. / Bobrov, V.B.; Trigger, S.A.; Heijst, van, G.J.F. et al.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 82, No. 1, 010102, 2010, p. 010102-1/3.

Research output: Contribution to journal › Article › Academic › peer-review

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T1 - Virial theorem for an inhomogeneous medium, boundary conditions for the wave functions, and stress tensor in quantum statistics

AU - Bobrov, V.B.

AU - Trigger, S.A.

AU - Heijst, van, G.J.F.

AU - Schram, P.P.J.M.

PY - 2010

Y1 - 2010

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AB - 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.

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DO - 10.1103/PhysRevE.82.010102

M3 - Article

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 1

M1 - 010102

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

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