This series, Finite Systems and Multipartide Dynamics, is intended to provide timely reviews of current research topics, written in a style sufficient ly pedagogic so as to allow a nonexpert to grasp the underlying ideas as well as understand technical details. The series is an outgrowth of our involvement with three interdisciplin ary activities, namely, those arising from the American Physical Society's Topical Group on Few-Body Systems and Multipartide Dynamics, the series of Gordon Research Conferences first known by the title "Few-Body Problems in Chemistry and Physics" and later renamed "Dynamics of Simple Systems in Chemistry and Physics," and the series of Sanibel Symposia, sponsored in part by the University of Florida. The vitality of these activities and the enthusiastic response to them by researchers in various subfields of physics and chemistry have convinced us that there is a place-even a need-for a series of timely reviews on topics of interest not only to a narrow band of experts but also to a broader, interdisciplinary readership. lt is our hope that the emphasis on pedagogy will permit at least some of the books in the series to be useful in graduate-level courses. Rather than use the adjective "Few-Body" or "Simple" to modify the word "Systems" in the title, we have chosen "Finite. " It better expresses the wide range of systems with which the reviews of the series may deal.

The Few Body Problem covers the proceedings of the Ninth International Conference on the Few Body Problem, held in Eugene, Oregon, USA on August 17-23, 1980. The book focuses on relativistic and particle physics, intermediate energy physics, nuclear, atomic, and molecular physics, and chemistry. The selection first offers information on nucleon-nucleon interaction in applications, including derivation of the nucleon-nucleon potential, nuclear many-body problem, and classic nuclear structure. The text also looks at three- and four-nucleon systems and graphs of three-body wave functions. The publication elaborates on K-meson experiments and non-mesonic few-nucleon phenomena. Topics include tests of invariance principles, properties of nuclei, dynamics, and hypernuclear physics. The manuscript also ponders on the Coulomb problem, atomic, molecular, and nuclear collisions, and muon capture in hydrogen isotopes. The selection is a dependable reference for readers interested in the few body problem.

The field of atomic, molecular, and optical (AMO) science underpins many technologies and continues to progress at an exciting pace for both scientific discoveries and technological innovations. AMO physics studies the fundamental building blocks of functioning matter to help advance the understanding of the universe. It is a foundational discipline within the physical sciences, relating to atoms and their constituents, to molecules, and to light at the quantum level. AMO physics combines fundamental research with practical application, coupling fundamental scientific discovery to rapidly evolving technological advances, innovation and commercialization. Due to the wide-reaching intellectual, societal, and economical impact of AMO, it is important to review recent advances and future opportunities in AMO physics. Manipulating Quantum Systems: An Assessment of Atomic, Molecular, and Optical Physics in the United States assesses opportunities in AMO science and technology over the coming decade. Key topics in this report include tools made of light; emerging phenomena from few- to many-body systems; the foundations of quantum information science and technologies; quantum dynamics in the time and frequency domains; precision and the nature of the universe, and the broader impact of AMO science.

Using numerical integration, it is possible to predict the individual motions of a group of a few celestial objects interacting with each other gravitationally. In this introduction to the few-body problem, a key figure in developing more efficient methods over the past few decades summarizes and explains them, covering both basic analytical formulations and numerical methods. The mathematics required for celestial mechanics and stellar dynamics is explained, starting with two-body motion and progressing through classical methods for planetary system dynamics. This first part of the book can be used as a short course on celestial mechanics. The second part develops the contemporary methods for which the author is renowned - symplectic integration and various methods of regularization. This volume explains the methodology of the subject for graduate students and researchers in celestial mechanics and astronomical dynamics with an interest in few-body dynamics and the regularization of the equations of motion.

It is apparent from the history of science, that few-body problems have an interdis ciplinary character. Newton, after solving the two-body problem so brilliantly, tried his hand at the Sun-Earth-Moon system. Here he failed in two respects: neither was he able to compute the motion of the moon accurately, nor did he understand the reason for that. It took a long time to understand the fundamental importance of Newton's failure, and only Poincare realised what was the fundamental difficulty in Newtons programme. Nowadays, the term deterministic chaos is associated with this problem. The deep insights of Poincare were neglected by the founding fathers of Quantum Physics. Thus history was repeated by Bohr and his students. After quantising the hydrogen atom, they soon found that the textbook case of a three-body problem in atomic physics, the 3He-atom, did not yield to the Bohr-Sommerfeld quantisation methods. Only these days do people realise what precisely were the difficulties connected to this semi classical way of treating quantum systems. Our field, as we know it today, began in principle in the early 1950's, when Watson sketched the outlines of three-body scattering theory. Mathematical rigour was achieved by Faddeev and thereafter, at the beginning of the 1960's, the quantum three-body prob lem, at least as far as short-range forces were concerned, w&s tamed. In the years that followed, through the work of others, who first applied Faddeev's methods, but later added new techniques, the three-and four-body problems became fully housebroken.