On the spectrum of the many-body Pauli projector

被引：0
作者：
E M Tursunov
机构：
[1] Institute of Nuclear Physics,
来源：
Pramana | 2021年 / 95卷
关键词：
Pauli projector; many-body quantum system; forbidden states; allowed subspace; 21.10.Dr; 21.60.Gx; 21.10.–k;
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摘要：
Spectrum of the Pauli projector of a quantum many-body system is studied using the methods of operator algebra. It is proven that the kernel of the complete many-body projector is identical to the kernel of the sum of two-body projectors. Since the kernel 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 of solving the Schrödinger equation for the many-body system. These relations clarify the role of many-body Pauli forces in a multicluster system.
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