This book contains comprehensive reviews and reprints on dynamical groups, spectrum generating algebras and spectrum supersymmetries, and their applications in atomic and molecular physics, nuclear physics, particle physics, and condensed matter physics. It is an important source for researchers as well as students who are doing courses on Quantum Mechanics and Advanced Quantum Mechanics.

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.

Nuclear Structure and Heavy-Ion Dynamics

This book gives an account of the properties of the interacting boson model.

Nuclear Structure 1985

Presents a unified theory of nuclear structure and nuclear reactions using the language of quantum electrodynamics, Feynman diagrams.

The reviews in this volume address advances in three important but diverse areas of nuc1ear physics. Within nuc1ear physics it would be hard to provide a wider range of subject matter, style, or treatment. The first artic1e, on quark bags, is a pedagogic artic1e intended to make accessible to the nuc1ear physics community important new ideas from partic1e physics. The second, on interacting boson models, reviews a very interesting and controversial new approach to some of the central problems of nuc1ear spectroscopy. The third, on relativistic heavy-ion physics, is a guide to the extensive literature on a new subject which has been fuH of great expectations, puz zling data, and speculative ideas. In the past decade, partic1e theorists' understanding of the structure of hadrons has undergone a revolution strikingly similar to that brought about in nuc1ear physics by the introduction of the Iluc1ear sheH model. Like the sheH model, the bag model of hadrons phenomenologically specifies an interior region in which constituents are confined and described by single-partic1e wave functions that are only weakly perturbed by residual interactions.