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arXiv · 1002.0455

On the Spectrum of the Many-Body Pauli Projector

E. M. Tursunov
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Abstract

Spectrum of the Pauli projector of a quantum many-body system is studied. It is proven that the kern of the complete many-body projector is identical to the kern of the sum of two-body projectors. Since the kern of the many-body Pauli projector defines an allowed subspace of the complete Hilbert space, it is argued that a truncation of the many-body model space following the two-body Pauli projectors is a natural way when solving the Schr\"{o}dinger equation for the many-body system. These relations clarify a role of the many-body Pauli forces in a multicluster system.

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E. M. Tursunov. 2010-02-02. On the Spectrum of the Many-Body Pauli Projector. https://doi.org/10.1007/s12043-021-02161-6

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