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Molecular electronic virial theorem
Theoretica Chimica Acta, 1985The partitioning of the molecular electronic energy into true one-electron quantities defined by a molecular electronic virial theorem (MEVT) is studied for a number of molecules. Since the theorem is derived for exact wavefunctions, its applicability to various ab initio wavefunctions at difierent levels of accuracy is examined. The average percentage
C. Ravimohan, M. S. Gopinathan
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2012
While the virial theorem plays a relatively minor role generally in physics, it is of vital importance for the understanding of stars. It connects two important energy reservoirs of a star and allows predictions and interpretations of certain evolutionary phases.
Rudolf Kippenhahn +2 more
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While the virial theorem plays a relatively minor role generally in physics, it is of vital importance for the understanding of stars. It connects two important energy reservoirs of a star and allows predictions and interpretations of certain evolutionary phases.
Rudolf Kippenhahn +2 more
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Generalizations of the Virial Theorem
American Journal of Physics, 1957This paper is a review of three generalizations of the classical virial theorem of Clausius, the first to a continuous distribution of charge and mass moving with relativistic velocity and its associated electromagnetic field, the second to a single Dirac particle in an external electromagnetic field, and the third to a quantum-mechanical system of ...
Schectman, R. M., Good, R. H. jun.
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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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Generalized virial theorem for compact problems
Physical Review A, 1991We derive the virial theorem for Hamiltonians whose domain of definition is not invariant under spatial dilatations. This generalization is important for problems where the support space is noncompact.
, Abad, , Esteve
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American Journal of Physics, 1986
Elementary applications of the virial theorem are presented. The driven harmonic oscillator and the anharmonic oscillator are considered, along with the Kepler motion.
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Elementary applications of the virial theorem are presented. The driven harmonic oscillator and the anharmonic oscillator are considered, along with the Kepler motion.
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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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The Virial Theorem: A Pocket Primer
Journal of Elasticity, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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