The N-representability problem, the pseudo-spectral decomposition of antisymmetric 1-body operators, and collective behaviour

Details The N-representability problem, the pseudo-spectral decomposition of antisymmetric 1-body operators, and collective behaviour The N-representability problem, the pseudo-spectral decomposition of antisymmetric 1-body operators, and collective behaviour

1995-04-15

arxiv.org/abs/quant-ph/9504011v1

Physics

Quantum Physics

28 pages, compressed and uuencoded Postscript, 2 figures

Scientific paper

10.1016/0034-4877(96)89765-5

The pseudo--spectral decomposition of an $N$--particle antisymmetric 1--body positive--semidefinite operator that corresponds to the canonical convex decomposition into the extreme elements of the dual cone of the set of fermion $N$--representable $1$--density operators has been derived. An attempt at constucting a mathematical model for collective behaviour of a system of $N$--fermions that originates from the pseudo--spectral decomposition is presented.

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