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S. Pironio, M. Navascues and A. Acio, “Convergent Relaxations of Polynomial Optimization Problems with Noncommuting Variables,” SIAM Journal of Optimization, Vol. 20, No. 5, 2010, pp. 2157-2180. doi:10.1137/090760155

has been cited by the following article:

• TITLE: Functional N-Representability in 2-Matrix, 1-Matrix, and Density Functional Theories

  AUTHORS: Eduardo V. Ludeña, F. Javier Torres, Cesar Costa

  KEYWORDS: N-Representability; DFT; D1-Matrix Theory; D2-Matrix Theory

  JOURNAL NAME: Journal of Modern Physics, Vol.4 No.3A, March 29, 2013

  ABSTRACT: The N-representability conditions on the reduced second-order reduced density matrix (2-RDM), impose restrictions not only in the context of reduced density matrix theory (RDMT), but also on functionals advanced in one-matrix theory such as natural orbital functional theory (NOFT), and on functionals depending on the one-electron density such as those of density functional theory (DFT). We review some aspects of the applications of these N-representability conditions in these theories and present some conclusions.