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Scaling of the known exact explicit forms of the non-interacting kinetic-energy density functional

It has been previously proven that the Kohn-Sham kinetic energy functional scales homogeneusly under generalized coordinate scaling, in a way that is obeyed by the von Weizäcker functional, but seems to be in contradiction with the scaling of the Thomas-Fermi functional. A very puzzling situation, taking in to account that the von Weizäcker and Thomas-Fermi functionals are exact cases of the Kohn-Sham kinetic energy functional for two electron systems, and the non-interacting electron gas, respectively. The apparent contradiction is resolved in this paper.

preprint2014arXivOpen access
Lázaro Calderín
quant-ph
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Lázaro Calderín

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