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A generalized quantum virial equation

J -A Schweitz

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A method, similar to the one previously used by the author in his derivation of a generalized classical virial theorem (see ibid., vol.10, no.4, p.507 (1977)), is used to derive a generalized quantum virial equation. This equation is applicable to any part of a larger system of particles. Furthermore, by the introduction of a flux density operator, it is possible to express the quantum surface flux virial in two alternative forms, as easily interpreted as the classical form. As an intermediate result, an equation of continuity for a general one-particle observable is obtained. In an appendix, an equation of motion of the reduced density matrix of the first order is derived.


PACS

03.65.Ge Solutions of wave equations: bound states

03.65.Db Functional analytical methods

05.30.Ch Quantum ensemble theory

MSC

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

Subjects

Quantum gases, liquids and solids

Statistical physics and nonlinear systems

Quantum information and quantum mechanics

Dates

Issue 4 (April 1977)



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