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Some generalizations of the virial theorem
Foundations of Physics, 1986Generalizations of the virial theorem are derived: In atomic physics, in systems including electromagnetic radiation, in Newtonian gravitation, and in general relativity and also some types of nuclear forces. The cases discussed are limited to potentials which can be produced by the exchange of one particle, which include potentials of the form1/r. The
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Local Virial and Tensor Theorems
The Journal of Physical Chemistry A, 2011We show that for any wave function and potential the local virial theorem can always be satisfied 2K(r) = r·ΔV by choosing a particular expression for the local kinetic energy. In addition, we show that for each choice of local kinetic energy there are an infinite number of quasi-probability distributions which will generate the same expression.
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Correlation energy and the virial theorem
Physical Review B, 1991Le theoreme du viriel 2E K +E p =3PV, ou P est la pression et V le volume, est connu pour etre valable pour les particules ponctuelles a interactions coulombiennes. On admet souvent qu'il est valable pour les electrons dans un fond de Jellium rigide, mais il n'est pas evident que ce soit le cas.
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"Virial Theorem" for the Flow of Energy
Physical Review, 1955Expressions are obtained for the flow of energy and momentum in assemblies of densely packed molecules, using a generalized virial theorem. They differ to some extent from expressions put forward by previous authors who had only derived the divergence of the flow vectors. Classical results are shown to be valid also in quantum mechanics.
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Reports on Mathematical Physics, 1976
Abstract It is shown that the usual virial theorem follows directly from the time average of the equation of motion of the function Σ i p i q i , formulated in terms of Poisson brackets.
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Abstract It is shown that the usual virial theorem follows directly from the time average of the equation of motion of the function Σ i p i q i , formulated in terms of Poisson brackets.
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American Journal of Physics, 1974
The quantum mechanical virial theorem as usually stated is correct only for a bound state of an unconfined system, because the proof depends on the vanishing not only of ψ but also of δψ/δxα at the bounding surface. The correct form is given and used to deduce the equation of state.
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The quantum mechanical virial theorem as usually stated is correct only for a bound state of an unconfined system, because the proof depends on the vanishing not only of ψ but also of δψ/δxα at the bounding surface. The correct form is given and used to deduce the equation of state.
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