Kinetic-energy density functionals based on the homogeneous response function applied to one-dimensional fermion systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 57, Issue 6, 1998, Pages 4192-4200

  Garcia Gonzalez P ^a   Alvarellos, J E ^a   Chacon E ^b  

^a UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

^b INSTITUTO DE CIENCIA DE MATERIALES DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012686612     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.57.4192     Document Type: Article

References (30)

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17. The SGA functional gives (Formula presented) for 3D fermion systems and (Formula presented) for 2D ones.
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19. The WT models for (Formula presented) and (Formula presented) are equivalent. On the other hand, (Formula presented) because, on the contrary, the first functional derivative of (Formula presented) would diverge at those points where the density goes to zero.
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21. It can be thought that there is an optimal (Formula presented) that gives accurate ground-state energies. We have confirmed with our calculations that there is no such value in the interval (Formula presented).
22. Obviously, the Pauli’s principle is the fundamental reason for the nonanalytic behavior of the Lindhard function and also of the existence of oscillations in the fermion density profiles. The nonlocal models take the Pauli’s principle into account in an approximate manner, through their weight functions.
23. One can define an arbitrary mean density (Formula presented) (for instance, from the application of the Thomas-Fermi functional, since the density given by this model is spatially bounded). In any case, the results given by the WT functional, with this criterion, differ considerably from the exact ones.
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26. We must keep in mind that, in this case, the values for (Formula presented) (Formula presented) are those obtained with the functional (Formula presented).
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