On the spectrum of the many-body Pauli projector

被引：0
作者：
Tursunov, E. M. [1 ]
机构：
[1] Inst Nucl Phys, Tashkent 100214, Uzbekistan
来源：
PRAMANA-JOURNAL OF PHYSICS | 2021年 / 95卷 / 03期
关键词：
Pauli projector; many-body quantum system; forbidden states; allowed subspace;
D O I：
10.1007/s12043-021-02161-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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 Schrodinger equation for the many-body system. These relations clarify the role of many-body Pauli forces in a multicluster system.
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