Nonlinear instability of density-independent orbital-free kinetic energy functionals

X. Blanc; E. Cances

doi:10.1063/1.1924595

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arXiv · cond-mat/0409081

Nonlinear instability of density-independent orbital-free kinetic energy functionals

X. Blanc·E. Cances

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Abstract

We study in this article the mathematical properties of a class of orbital-free kinetic energy functionals. We prove that these models are linearly stable but nonlinearly unstable, in the sense that the corresponding kinetic energy functionals are not bounded from below. As a matter of illustration, we provide an example of an electronic density of simple shape the kinetic energy of which is negative.

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X. Blanc, E. Cances. 2004-09-03. Nonlinear instability of density-independent orbital-free kinetic energy functionals. https://doi.org/10.1063/1.1924595

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