Searching for new conditions for fermion N-representability

Details Searching for new conditions for fermion N-representability Searching for new conditions for fermion N-representability

2003-11-16

arxiv.org/abs/math-ph/0311026v1

Physics

Mathematical Physics

10 pages

Scientific paper

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

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