title: Virial theorem for an inhomogeneous medium, boundary conditions for the wave functions, and stress tensor in quantum statistics.
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.
authors.affiliation: Joint Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya Street 13, Building 2, 125412 Moscow, Russia.
authors.forename: V B
authors.initials: VB
authors.lastname: Bobrov
authors.forename: S A
authors.initials: SA
authors.lastname: Trigger
authors.forename: G J F
authors.initials: GJ
authors.lastname: van Heijst
authors.forename: P P J M
authors.initials: PP
authors.lastname: Schram