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    • On the spectrum of the many-body Pauli projector

      E M TURSUNOV

      Research Article Volume 95 Published: 30 July 2021 Article ID 0128

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/095/0128

    • Keywords

       

      Pauli projector; many-body quantum system; forbidden states; allowed subspace

    • 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.

    • Author Affiliations

       

      E M TURSUNOV1

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

    • Dates

       
      Published
      30 July 2021
      Manuscript received
      4 February 2021
      Manuscript revised
      7 April 2021
      Accepted
      8 April 2021
      Final version published online
      30 July 2021

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      Posted on July 25, 2019

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