Ground states of Fermions on lattices |
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Authors: | Taku Matsui |
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Institution: | (1) Department of Mathematics, Tokyo Metropolitan University, 1-1 Minami Ohsawa, 192-03 Hachioji-shi, Tokyo, Japan |
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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). |
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