Reverse engineering in many-body quantum physics: Correspondence between many-body systems and effective single-particle equations

J. P. Coe, K. Capelle, I. D’amico

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The mapping, exact or approximate, of a many-body problem onto an effective single-body problem is one of the most widely used conceptual and computational tools of physics. Here, we propose and investigate the inverse map of effective approximate single-particle equations onto the corresponding many-particle system. This approach allows us to understand which interacting system a given single-particle approximation is actually describing, and how far this is from the original physical many-body system. We illustrate the resulting reverse engineering process by means of the Kohn-Sham equations of density-functional theory. In this application, our procedure sheds light on the nonlocality of the density-potential mapping of density-functional theory, and on the self-interaction error inherent in approximate density functionals.
Original languageEnglish
Article number032504
JournalPhysical Review A
Volume79
Issue number3
DOIs
Publication statusPublished - 5 Mar 2009

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