On the Convergence of the Many-Body Pauli Projector

Details On the Convergence of the Many-Body Pauli Projector On the Convergence of the Many-Body Pauli Projector

2010-02-02

arxiv.org/abs/1002.0455v1

Physics

Mathematical Physics

3 pages

Scientific paper

The convergence problem of the many-body Pauli projector is studied. It is proved that the kern of the complete many-body projector is identical with the kern of the sum of two-body projectors. Since the kern of the many-body projector defines an allowed subspace, it is argued that the truncation of the many-body model space following the only two-body projectors is a good approximation. These relations clarifies the role of the many-body Pauli forces in a multicluster system.

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