Ground states of Fermions on lattices

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Abstract

We consider Fermion systems on integer lattices. We establish the existence of dynamics for a class of long range interactions. The infinite volume ground states are considered. The equivalence of the variational principle and ground state conditions is proved for long range interactions. We also prove that any pure translationally invariant ground state of the gauge invariant algebra is extendible to a ground state of the full CAR algebra for the Hamiltonian with a chemical potential (equivalence of ensemble for canonical and ground canonical states at the zero temperature).

Original languageEnglish
Pages (from-to)723-751
Number of pages29
JournalCommunications in Mathematical Physics
Volume182
Issue number3
DOIs
Publication statusPublished - Jan 1 1996
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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