2003/11/16 by Hubert Grudziński, Hubert Grudzinski, Grudzinski, Hubert +2
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Crystallography and Radiation Phenomena #Nuclear physics research studies #math-ph #math.MP #math.SP #msc:47xx
paper · pdf · doi:10.48550/arxiv.math-ph/0311026
10 pages
arxiv created 2003/11/16 · arxiv updated 2009/12/01
New elements of the dual cone of the set of fermion N-representable 2-density operators are proposed. So far, the explicit form of the corresponding necessary conditions for N-representability is obtained for N=3. In this case the new condition is stronger than the known B- and C-conditions for 3-representability. The results provide evidence that in the spectral decomposition of the N-representable 2-density operator there exists an intrinsic relation between the eigenvalue and the corresponding eigenfunction. keywords: fermion N-representability problem, conditions for N-representability