On the Spectrum of the Many-Body Pauli Projector
Mathematical Physics
2021-08-06 v2 math.MP
Nuclear Theory
Atomic and Molecular Clusters
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1002.0455,
title = {On the Spectrum of the Many-Body Pauli Projector},
author = {E. M. Tursunov},
journal= {arXiv preprint arXiv:1002.0455},
year = {2021}
}
Comments
4 pages