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Properties of an exact crystalline many-body ground state
Authors:P. J. Forrester
Affiliation:(1) Department of Mathematics, La Trobe University, 3083 Bundoora, Victoria, Australia
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.
Keywords:Wigner solid  Jastrow-type wave function  correlation functions
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