Contents: Scales and Complexity; Quantum Fields: Overview Collective Quantum Fields; Conserved Particles; Simple Examples of Second-quantization; Greens Functions; Feynman Diagrams: T=0; Finite Tem . . . . .

Contents: Introduction; Scales and Complexity; Quantum Fields: Overview Collective Quantum Fields; Conserved Particles; Simple Examples of Second-quantization; Greens Functions; Feynman Diagrams . . . . .

Contents: First and second quantization; The electron gas; Phonons; coupling to electrons; Mean field theory; Time evolution pictures; Linear response theory ; Transport in mesoscopic systems; Green’s . . . . .

This review is a summary of my work (partially in collaboration with Kurt Schoenhammer) on higher-dimensional bosonization during the years 1994-1996. It has been published as a book entitled "Bosoniz . . . . .

Contents: introduction material; Green\'s functions at zero temperature; Green\'s function at finite temperature; electron gas; physical quantities based on the Energy or self-Energy; The current curr . . . . .

Contents: Landau-Fermi-liquid theory: Phenomenology; Second Quantization; Linear Response Theory; Hartree-Fock Approximation; Feynamm diagram technique; Landau-Fermi liquid theory: a microscopic just . . . . .

The purpose of these notes is to point out a few key results in quantum mechanics, statistical physics and many-body theory that should be useful to understand the application of advanced numerical . . . . .

A self-contained pedagogical introduction to the functional Schr\"{o}dinger picture method of many-body theory is given at a level suitable for graduate students and also for many-body physicists who . . . . .

Strong-CouplIng Approaches to Correlated Fermions.

The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. The term Anderson transition is understood in a broad sense, including both metal-insulator . . . . .

In recent years, quantum phase transitions have attracted the interest of both theorists and experimentalists in condensed matter physics. These transitions, which are accessed at zero temperature by . . . . .

Basic tools of quantum magnetism are introduced and used: spin coherent states path integral, spin wave theory, and continuum theory of rotators.The last lecture concerns pseudospin approaches . . . . .

A book treats path integral formulation of Many Body Theory (344 pages).

Quantum Theory of Large Systems of Non-Relativistic Matter

This is an expanded version of the lectures given at the Trieste Summer School 1992 on Low-dimensional Quantum Field Theories for Condensed Matter Physicists. 122 pg

Electrostatic correlations play an important role in physics, chemistry and biology. In plasmas they lead to thermodynamic instability similar to the liquid-gas phase transition of simple molecular fl . . . . .

Contents: Introduction; From particles to fields; Quantising the classical field; Second quantisation; Representation of operators; Tight-binding and the Mott Transition; Quantum magnetism and the Fer . . . . .