• On the spectrum of the many-body Pauli projector

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      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

       
  • Pramana – Journal of Physics | News

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