- 93-295 Lieb E. H.
- THE HUBBARD MODEL SOME RIGOROUS RESULTS AND OPEN PROBLEMS
(68K, Plain TeX)
Nov 13, 93
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Abstract. The Hubbard model of interacting electrons, like the Ising model of
spin-spin interactions, is the simplest possible model displaying many
``real world'' features, but it is much more difficult to analyze
qualitatively than the Ising model. After a third of a century of
research, we are still not sure about many of its basic properties.
This mini-review will explore what is known rigorously about the model
and it will attempt to describe some open problems that are possibly
within the range of rigorous mathematical analysis.