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On the spectrum of the many-body Pauli projector

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Abstract

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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  1. Institute of Nuclear Physics, 100214 , Ulugbek, Tashkent, Uzbekistan

    E M Tursunov

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  1. E M Tursunov
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Correspondence to E M Tursunov.

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Tursunov, E.M. On the spectrum of the many-body Pauli projector. Pramana - J Phys 95, 128 (2021). https://doi.org/10.1007/s12043-021-02161-6

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  • DOI: https://doi.org/10.1007/s12043-021-02161-6

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