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