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Quantum theory. --- Electrons. --- Molecular orbitals. --- Atomic orbitals.

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Atomic orbitals --- Nuclear physics. --- Wave mechanics. --- Mathematical models.

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This book provides the first systematic discourse on a very peculiarapproach to the theory of strongly correlated systems. HubbardX-operators have been known for a long time but have not been widelyused because of their awkward algebra. The book shows that it ispossible to deal with X-operators even in the general multilevel localeigenstate system, and not just in the case of the nondegenerateHubbard model. X-operators provide the natural language for describingquasiparticles in the Hubbard subbands with unusual doping andtemperature-dependent band structures.

Hubbard model. --- Electron configuration --- Configuration, Electron --- Electron correlation --- Atomic orbitals --- Electrons --- Model, Hubbard --- Energy-band theory of solids --- Mathematical models.

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Atomic orbitals. --- Conjugated molecules. --- Hybridization. --- Hydrogen bond. --- Ligand field. --- Metals. --- Molecular orbital. --- Valence (Theoretical chemistry). --- Valence bond.

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The book presents exact results for one-dimensional models (includingquantum spin models) of strongly correlated electrons in acomprehensive and concise manner. It incorporates important resultsrelated to magnetic and hybridization impurities in electron hosts andcontains exact original results for disordered ensembles of impuritiesin interacting systems.

Electron configuration. --- Condensed matter. --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Configuration, Electron --- Electron correlation --- Atomic orbitals --- Electrons