This book a first comprehensive review on statistical spectroscopy deals with two related yet distinct topics a" averages and fluctuations. While fluctuations have been dealt with in considerable detail in Porter's book entitled Statistical Theories of Spectra: Fluctuations and subsequent reviews and books there does not exist at present a similar treatise on averages. This unique volume is designed to fill this significant gap.The book begins with an introductory review and overview of the subject of spectral distributions initiated by J Bruce French in the 60's followed by a collection of original papers which continue to give new insight on average properties of spectra. The purpose is to highlight the considerable advancements made in the application of statistical spectroscopy to nuclear structure and to encourage new directions in random matrix theory many-body chaos and statistical mechanics of finite quantum systems such as nuclei atoms molecules quantum dots etc.Along with Wong's book entitled Nuclear Statistical Spectroscopy this volume would be useful to a reader looking for a thorough introduction to the subject as well as to the specialist contemplating new applications. Finally with most of the material available in one place this book would be ideal in the design of graduate courses in statistical spectroscopy suited to specific needs.

This book provides an understandable review of SU(3) representations, SU(3) Wigner–Racah algebra and the SU(3) ⊃ SO(3) integrity basis operators, which are often considered to be difficult and are avoided by most nuclear physicists. Explaining group algebras that apply to specific physical systems and discussing their physical applications, the book is a useful resource for researchers in nuclear physics. At the same time it helps experimentalists to interpret data on rotational nuclei by using SU(3) symmetry that appears in a variety of nuclear models, such as the shell model, pseudo-SU(3) model, proxy-SU(3) model, symplectic Sp(6, R) model, various interacting boson models, various interacting boson–fermion models, and cluster models. In addition to presenting the results from all these models, the book also describes a variety of statistical results that follow from the SU(3) symmetry.

This advanced textbook presents an extensive and diverse study of low-energy nuclear physics considering the nucleus as a quantum system of strongly interacting constituents. The contents guide students from the basic facts and ideas to more modern topics including important developments over the last 20 years, resulting in a comprehensive collection of major modern-day nuclear models otherwise unavailable in the current literature. The book emphasizes the common features of the nucleus and other many-body mesoscopic systems currently in the center of interest in physics. The authors have also included full problem sets that can be selected by lecturers and adjusted to specific interests for more advanced students, with many chapters containing links to freely available computer code. As a result, readers are equipped for scientific work in mesoscopic physics.

An International Conference on the "Statistical Properties of Nuclei" was held from August 23 to August 27, 1971, at the State University of New York at Albany campus. The purpose of the conference was to review the current status of the experimental and theoretical aspects of resonance reaction theories, statistics of resonance parameters such as level spacings, neutron, fission, radiative and reaction widths, level densities, fluctuations in cross sections, strength functions and its relation to the optical model, intermediate structure in particle and photon induced reactions, and statistical aspects of the decay of the compound nucleus. The conference was held under the auspices of the Inter national Union of Pure and Applied Physics. The organization of the conference was greatly facilitated by the financial support received from the International Union of Pure and Applied Physics, The National Science Foundation and the U.S. Atomic Energy Commission and the generous use of the physical facilities and other audio-visual services provided by the State University of New York. It is with great pleasure that I thank all tbese agencies for their kind support.

This informative monograph provides a detailed introduction to statistical spectroscopy, a technique that combines the best aspects of the shell-model microscopic approach with the purely statistical approaches used in certain nuclear reaction theories and random matrix studies. This handbook describes statistical spectroscopy in language that enables the nonspecialist to grasp the matter easily, and at the same time gathers the most important techniques in one place, making this book a valuable reference for nuclear physicists interested in applying this method to their research.