1998
DOI: 10.1103/physrevb.58.9700
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Interatomic potentials via the effective-action formalism

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Cited by 8 publications
(8 citation statements)
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“…However, it has not led, to our knowledge, to new or systematically improved mean-field-type functionals for nuclei.The use of functional Legendre transformations for DFT with the effective action formalism was first detailed by Fukuda and collaborators [22,23], who also discuss the inversion and auxiliary field methods of constructing the effective action. The connection to Kohn-Sham DFT was shown by Valiev and Fernando [24,25,26,27] and later by other authors in Refs. [28,29,30].…”
mentioning
confidence: 74%
“…However, it has not led, to our knowledge, to new or systematically improved mean-field-type functionals for nuclei.The use of functional Legendre transformations for DFT with the effective action formalism was first detailed by Fukuda and collaborators [22,23], who also discuss the inversion and auxiliary field methods of constructing the effective action. The connection to Kohn-Sham DFT was shown by Valiev and Fernando [24,25,26,27] and later by other authors in Refs. [28,29,30].…”
mentioning
confidence: 74%
“…To carry out the inversion and Legendre transformation, we apply the inversion method of Fukuda et al [38,39,41,47,48,49]. This method applies to any system that can be characterized by a hierarchy, which we organize by introducing a parameter λ that is ultimately set to unity.…”
Section: A Effective Action and The Inversion Methodsmentioning
confidence: 99%
“…Calculating the successive Γ i 's, whose sum is directly proportional to the desired energy functional, is described in Refs. [20,21,55,23].…”
Section: Dft From Effective Actionsmentioning
confidence: 99%