By Fabian H. L. Essler,Holger Frahm,Frank Göhmann,Andreas Klümper,Vladimir E. Korepin

the outline of solids at a microscopic point is advanced, regarding the interplay of an incredible variety of its components, akin to ions or electrons. it's very unlikely to unravel the corresponding many-body difficulties analytically or numerically, even if a lot perception could be won from the research of simplified types. a massive instance is the Hubbard version, which describes interacting electrons in slim power bands, and which has been utilized to difficulties as assorted as high-Tc superconductivity, band magnetism, and the metal-insulator transition. This 2005 booklet provides a coherent, self-contained account of the precise answer of the Hubbard version in a single measurement. The early chapters should be obtainable to starting graduate scholars with a simple wisdom of quantum mechanics and statistical mechanics. The later chapters tackle extra complicated issues, and are meant as a advisor for researchers to a couple of the extra topical leads to the sphere of integrable models.

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