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Properties of an exact crystalline many-body ground state

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Abstract

A new quantum many-body Hamiltonian is introduced, for which the exact ground state is a Jastrow-type product. This Hamiltonian is interpreted as a one-component |x|-potential Coulomb system in free boundary conditions, and by explicit calculation it is shown that the ground state is crystalline. The generaln-body density matrix is calculated, and is related to then-body density matrix calculated in periodic boundary conditions.

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Authors and Affiliations

  1. Department of Mathematics, La Trobe University, 3083, Bundoora, Victoria, Australia

    P. J. Forrester

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  1. P. J. Forrester
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Forrester, P.J. Properties of an exact crystalline many-body ground state. J Stat Phys 76, 331–346 (1994). https://doi.org/10.1007/BF02188665

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