title: Physics in one dimension: theoretical concepts for quantum many-body systems.
abstract: Various sophisticated approximation methods exist for the description of quantum many-body systems. It was realized early on that the theoretical description can simplify considerably in one-dimensional systems and various exact solutions exist. The focus in this introductory paper is on fermionic systems and the emergence of the Luttinger liquid concept.
authors.affiliation: Institut für Theoretische Physik, Universität Göttingen, Germany. schoenh@theorie.physik.uni-goettingen.de
authors.forename: K
authors.initials: K
authors.lastname: Schönhammer
mesh_terms: D003198:Computer Simulation; D008956:Models, Chemical; D008958:Models, Molecular; D011789:Quantum Theory; D012212:Rheology / Q000379:methods*; D012996:Solutions / Q000737:chemistry*
chemical_list: D012996:Solutions