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This book describes the mathematical framework on which the interacting boson-fermion model is built and presents applications to a variety of situations encountered in nuclei. It addresses both the analytical and the numerical aspects of the problem. The analytical aspect requires the introduction of rather complex group theoretic methods, including the use of graded (or super) Lie algebras. The first (and so far only) example of supersymmetry occurring in nature is also discussed.

Interacting boson-fermion models. --- Interacting boson-fermion models --- #KVIV:BB --- Boson-fermion models, Interacting --- Boson-fermion systems, Interacting --- Fermion-boson models, Interacting --- Fermion-boson systems, Interacting --- IBFM (Nuclear physics) --- Interacting boson-fermion systems --- Nuclear collective models --- Bosons --- Fermions --- Bosons & fermions --- Mathematical models --- Elementary particles --- Interactions

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This book explains modern and interesting physics in heavy-fermion (HF) compounds to graduate students and researchers in condensed matter physics. It presents a theory of heavy-fermion (HF) compounds such as HF metals, quantum spin liquids, quasicrystals and two-dimensional Fermi systems. The basic low-temperature properties and the scaling behavior of the compounds are described within the framework of the theory of fermion condensation quantum phase transition (FCQPT). Upon reading the book, the reader finds that HF compounds with quite different microscopic nature exhibit the same non-Fermi liquid behavior, while the data collected on very different HF systems have a universal scaling behavior, and these compounds are unexpectedly uniform despite their diversity. For the reader's convenience, the analysis of compounds is carried out in the context of salient experimental results. The numerous calculations of the non-Fermi liquid behavior, thermodynamic, relaxation and transport properties, being in good agreement with experimental facts, offer the reader solid grounds to learn the theory's applications. Finally, the reader will learn that FCQPT develops unexpectedly simple, yet completely good description of HF compounds.

Physics. --- Solid State Physics. --- Mathematical Methods in Physics. --- Metallic Materials. --- Low Temperature Physics. --- Mathematical physics. --- Materials. --- Physique --- Physique mathématique --- Matériaux --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Fermions. --- Interacting boson-fermion models. --- Boson-fermion models, Interacting --- Boson-fermion systems, Interacting --- Fermion-boson models, Interacting --- Fermion-boson systems, Interacting --- IBFM (Nuclear physics) --- Interacting boson-fermion systems --- Fermi-Dirac particles --- Solid state physics. --- Low temperature physics. --- Low temperatures. --- Metals. --- Nuclear collective models --- Bosons --- Fermions --- Particles (Nuclear physics) --- Quantum statistics --- Interacting boson-fermion models --- Leptons (Nuclear physics) --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Physical mathematics --- Materials --- Mathematics --- Cryogenics --- Low temperature physics --- Temperatures, Low --- Temperature --- Cold --- Metallic elements --- Chemical elements --- Ores --- Metallurgy --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Solids