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This book is a tribute to the life and work of J Q Chen. The contributions of Chen to nuclear and molecular physics are discussed vis-à-vis present developments in these fields. Among other subjects, the present status of microscopic theories of the interacting boson model in nuclear physics and the theory of symmetry adaptation of molecular vibrations in molecular physics are reviewed. The latter theory is particularly useful for large molecular species such as fullerenes, where icosahedral symmetry plays a fundamental role.
Contents:

• A Conceptual Review of the New Approach

Group theory. --- Interacting boson models. --- Nuclear physics. --- Molecules. --- Mathematical physics. --- Physical mathematics --- Physics --- Atomic nuclei --- Atoms, Nuclei of --- Nucleus of the atom --- Boson approximations, Interacting --- Boson models, Interacting --- IBA (Nuclear physics) --- IBM (Nuclear physics) --- Interacting boson approximations --- Nuclear collective models --- Bosons --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Mathematics

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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

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This book was first published in 2007. When electrons are confined to two dimensions, cooled to near absolute zero temperature, and subjected to a strong magnetic field, they form an exotic new collective state of matter. Investigations into this began with the observations of integral and fractional quantum Hall effects, which are among the most important discoveries in condensed matter physics. The fractional quantum Hall effect and a stream of other unexpected findings are explained by a new class of particles: composite fermions. This textbook is a self-contained, pedagogical introduction to the physics and experimental manifestations of composite fermions. Ideal for graduate students and academic researchers, it contains numerous exercises to reinforce the concepts presented. The topics covered include the integral and fractional quantum Hall effects, the composite-fermion Fermi sea, various kinds of excitations, the role of spin, edge state transport, electron solid, bilayer physics, fractional braiding statistics and fractional local charge.

Fermions --- Fermions. --- Particles (Nuclear physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Fermi-Dirac particles --- Quantum statistics --- Interacting boson-fermion models --- Leptons (Nuclear physics)

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Special Issue in honour of Prof. Yves Brihaye, on the occasion of his 65th birthday. The issue is mainly dedicated to the study of compact objects and solutions to Einstein-Yang-Mills equations and extensions thereof, topics to which Prof. Y. Brihaye contributed very significantly.

deconfinement --- Matter-gravity coupling --- Yang–Mills theory --- Q-ball --- boson star --- coadjoint orbits --- conformal group --- Poincaré group --- solitons --- boson stars --- Dirac stars --- Spontaneous Symmetry Breaking --- BEH field mass spectrum --- LHC experiments --- black holes --- scalar fields --- Einstein–Maxwell–scalar theory --- gravity models --- Chern–Simons gravity --- exact solutions --- wormholes --- NUT charge --- higher curvature theories

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The book on Heavy-Fermion Systems is a part of the Book series ""Handbook of Metal Physics"", each volume of which is written to facilitate the research of Ph.D. students, faculty and other researchers in a specific area. The Heavy-Fermions (sometimes known as Heavy-Electrons) is a loosely defined collection of intermetallic compounds containing rare-earth (mostly Ce) or actinide (mostly U) elements. These unusual names were given due to the large effective mass (100-1,000 times greater than the mass of a free electron) below a critical temperature. They have a variety of ground states includi

Fermions. --- Metals --- Chemistry, Physical and theoretical. --- Physical metallurgy. --- Microstructure. --- Metallurgy --- Physics --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Physical metallurgy --- Fermi-Dirac particles --- Particles (Nuclear physics) --- Quantum statistics --- Interacting boson-fermion models --- Leptons (Nuclear physics)