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The interacting boson-fermion model has become in recent years the standard model for the description of atomic nuclei with an odd number of protons and/or neutrons. 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. The book 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. The book is the first comprehensive treatment of the subject and will appeal to both theoretical and experimental physicists. The large number of explicit formulas for level energies, electromagnetic transition rates and intensities of transfer reactions presented in the book provide a simple but detailed way to analyse experimental data. This book can also be used as a textbook for advanced graduate students.

Interacting boson-fermion models.

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Approximation de Hartree-Fock --- Fermi liquid theory --- Fermionen --- Fermions --- Hartree-Fock approximatie --- Hartree-Fock approximation --- Many-body problem --- Perturbation (Dynamique quantique) --- Perturbation (Quantum dynamics) --- Problem of many bodies --- Problem of n-bodies --- Probleme a n corps --- Storing (Quantumdynamica) --- n-body problem --- n-lichaamprobleem --- Many-body problem. --- Density functionals. --- Hartree-Fock approximation. --- Problème des N corps --- Fonctionnelles densité --- Perturbation (Mécanique quantique) --- Théorie des liquides de Fermi --- Méthode d'approximation Hartree-Fock --- Fermi liquid theory. --- Fermions. --- Perturbation (Quantum dynamics). --- Problème des N corps --- Fonctionnelles densité --- Perturbation (Mécanique quantique) --- Théorie des liquides de Fermi --- Méthode d'approximation Hartree-Fock --- 530.19 --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Density functionals --- Perturbation theory, Quantum mechanical --- Perturbation (Mathematics) --- Quantum theory --- Mechanics, Analytic --- Hartree approximation --- Hartree-Fock-Slater approximation --- Approximation theory --- Atoms --- Energy-band theory of solids --- Self-consistent field theory --- Fermi-Dirac particles --- Particles (Nuclear physics) --- Quantum statistics --- Interacting boson-fermion models --- Leptons (Nuclear physics) --- Landau Fermi liquid theory --- Landau theory of Fermi liquids --- Landau's theory of Fermi liquids --- Fermi liquids --- Density functional methods --- Density functional theory --- Functional methods, Density --- Functionals, Density --- Functional analysis --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc --- Quantum mechanics. Quantumfield theory