This book contains lectures on strongly correlated electron systems presented by eminent physicists. These lectures are up-to-date summaries of relevant subjects in the field of condensed matter physics. Contributions include: BCS theory of nodal superconductors; strongly correlated particle systems and composite operator methods; diagonalization- and numerical renormalization-group-based methods for interacting quantum systems; as well as phenomenological aspects of unconventional superconductivity.

This volume contains invited and contributed papers of eminent scientists who are deeply involved in the field of strongly correlated electron systems and high-Tc superconductivity. The topics of the papers include the Hubbard model, the t-J model, the polaronic model for high-Tc superconductivity, Fermi liquid and non-Fermi liquid theory, and heavy fermion systems.

These proceedings contain some selected topics in high Tc superconductivity. The experimental data presently available on high Tc superconductivity together with some of the existing theories (BCS, bipolarons, anyons, superconductivity by quantum size effect, local pairing) are reviewed.

This book contains lectures on strongly correlated electron systems presented by eminent physicists. These lectures are up-to-date summaries of relevant subjects in the field of condensed matter physics intended to train students. Contributions include: Strongly correlated electron behaviors and heavy Fermions in anomalous rare-earth and actinide systems; strong correlations in low dimensional systems; functional renormalization group approach to correlated electron systems; and numerical approaches to coupled quantum systems.

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.

This research monograph offers an introduction to advanced quantum field theoretical techniques for many-particle systems beyond perturbation theory. Several schemes for resummation of the Feynman diagrams are described. The resulting approximations are especially well suited for strongly correlated fermion and boson systems. Also considered is the crossover from BCS superconductivity to Bose--Einstein condensation in fermion systems with strong attractive interaction. In particular, a field theoretic formulation of "bosonization" is presented; it is published here for the first time. This method is applied to the fractional quantum Hall effect, to the Coulomb plasma, and to several exactly solvable models.