Non-local kinetic energy functional for an arbitrary number of Fermions moving independently in one-dimensional harmonic oscillator potentialNon-local kinetic energy functional for an arbitrary number of Fermions moving independently in one-dimensional harmonic oscillator potential
Faculty of Sciences. Physics

Department of Physics - other

Department of Physics

article

2000Amsterdam, 2000

Physics

Physics letters: A. - Amsterdam, 1967, currens

270(2000):1-2, p. 88-92

0375-9601

000087265200011

E

English (eng)

University of Antwerp

For one-dimensional Fermions bound by a general one-body potential V(x), the Pauli potential is first related to the kinetic energy and the particle density rho(x). For the model of the harmonic oscillator, V(x) = 1/2x(2), this equation leads to a non-local kinetic energy functional in which only first-order derivatives of rho(x) enter. This example shows the usefulness of a new concept, the Pauli function, which encompasses the Pauli principle in terms of the electronic density. For the harmonic oscillator model, the kinetic energy can then be expressed exactly in terms of the Thomas-Fermi kinetic energy functional, together with the von Weizsacker inhomogeneity term, but now in a fully non-local way. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

https://repository.uantwerpen.be/docman/irua/f55911/8320.pdf

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