The book reviews several theoretical, mostly exactly solvable, models for selected systems in condensed states of matter, including the solid, liquid, and disordered states, and for systems of few or many bodies, both with boson, fermion, or anyon statistics. Some attention is devoted to models for quantum liquids, including superconductors and superfluids. Open problems in relativistic fields and quantum gravity are also briefly reviewed.The book ranges almost comprehensively, but concisely, across several fields of theoretical physics of matter at various degrees of correlation and at different energy scales, with relevance to molecular, solid-state, and liquid-state physics, as well as to phase transitions, particularly for quantum liquids. Mostly exactly solvable models are presented, with attention also to their numerical approximation and, of course, to their relevance for experiments.
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N H March (1927) is Emeritus Professor at Oxford University, Oxford, UK, where he has been Coulson Professor of Theoretical Chemistry since 1977. Earlier, he was Professor of Theoretical Solid State Physics at Imperial College, London, and Professor of Physics at the University of Sheffield. In 2000-2001 he enjoyed an inter-university foreign Franqui Chair between the Free University of Brussels (VUB) and Antwerp University (UA), Belgium. He also served as Chair of the Solid-State Advisory Committee at the International Centre for Theoretical Physics (ICTP) in Trieste, Italy, from 1980 to 1991. He received an honorary doctorate from Chalmers University, Gothenburg, Sweden, in 1974, and a laurea honoris causa from the University of Catania, Italy, in 2003. Professor March's research interests include almost all aspects of theory of the condensed states of matter, both in the solid and in the liquid states, many-body assemblies including molecules and clusters, statistical mechanics, density functional theory, and quantum liquids, including superfluids and superconductors. Professor March is author or co-author of nearly a thousand papers, and of some 30 books. Professor March is Editor of the scientific journal Physics and Chemistry of Liquids.
G G N Angilella is associate professor of structure of matter at the University of Catania, Italy. His research interests include superconductivity and matter under high pressure, anyons, and graphene.
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