This introduction to Atomic and Molecular Physics explains how our present model of atoms and molecules has been developed over the last two centuries both by many experimental discoveries and, from the theoretical side, by the introduction of quantum physics to the adequate description of micro-particles.

This book presents the physics of magnetic flux tubes, including their fundamental properties and collective phenomena in an ensemble of flux tubes. The physics of magnetic flux tubes is vital for understanding fundamental processes in the solar atmosphere that are shaped and governed by magnetic fields. The concept of magnetic flux tubes is also central to various magnetized media ranging from laboratory plasma and Earth's magnetosphere to planetary, stellar and galactic environments.

Excitation of Atoms and Broadening of Spectral Lines povides a survey of elementary processes and mechanisms. It presents useful and relatively simple methods of approximation for calculating effective cross sections, giving a number of approximate formulas. Extensive tables list cross sections and rate coefficients for various atoms and elementary processes. The tables of cross sections were recalculated using an updated version of the computer code ATOM. Some material reflecting the recent progress in the field has been added to this new printing.

Atoms in Plasmas is concerned with radiative-collisional phenomena in neutral and ionized gases. Central to the studies is a "perturbed atom" that is an atom under the influence of different perturbations in plasmas, namely by electrical and magnetic fields, fields of plasma oscillations, laser and Planck-radiation fields, collisions with excited particles, stochastic accelerations, etc. The treatment covers fundamental aspects of modern physics, such as atomic quantum mechanics and quantum optics, radiation and collisional processes in plasmas and gases, nonlinear laser spectroscopy, plasma diagnostics, etc.

From July 20 till 31, 1981, the Advanced Study Institute on "Electron Correlations in Solids, Molecules and Atoms", sponsored by NATO, was held at the University of Antwerpen (U.I.A.), in the Conference Center Corsendonk. In the last few years, the problem of many-electron correlations has gained renewed attention, due to recent experimental and theoretic­ al developments. From the theoretical point of view, more sophisticated treatments of the homogeneous electron gas model evolved, including dynamical aspects of the electron correlation in the dielectric response. Furthermore, the homogeneous electron gas, which served as a model for simple metals, was extended to include spin- and charge-density waves and phasons.

Composite materials have been used as structural materials almost since the beginning of recorded civilization. Examples from the mud bricks with straw used by the early Inca and Egyptian societies to the concrete and plywood used by modern societies are well known to all. However, the purpose here is to discuss a new breed of resin matrix composite materials. The two types which will be considered herein are continuous fiber graphite/epoxy (G/E) resin laminated composites, often referred to as advanced composite materials, and a chopped fiberglass/ polyester resin composite, often referred to as sheet molding compound (SHe).

Our main aim is to examine whether the atoms and molecules constituting the world around us are distributed in space in a random and disordered fashion, like pebbles on the beach, or in an ordered pattern like the cells of a honeycomb. However, it is often impossible to make such a clear-cut distinction, and it is better not to use "order" and "disorder" as absolute terms but to speak instead of a "degree of order" and a "degree of disorder. " These concepts are fairly new in science. Up to about 20-30 years ago it was still believed (and in fact this belief can still be en­ countered today) that certain states of matter - such as gases, liquids, and amorphous solids - were characterized by a totally disordered distribution of the constituent particles, whilst crys­ tals, by contrast, exhibited perfectly ordered lattices. According to the present view, on the other hand, order and disorder often coexist inseparably from each other, though there are admittedly many cases in which "order" or "disorder" does describe quite accurately tbe actual state of affairs. Symptoms of disorder have recently been found in seemingly perfectly regular molecular structures, and symptoms of order in seemingly perfectly chaotic aggregations of particles. These dis­ coveries led to the formulation of new and important laws cor­ relating the structure of substances with their properties, and to tIlt' explanation of many phenomena in terms of changes in the degree of order.

This fourth edition contains a few additional figures. Otherwise only typographical er­ rors have been removed. The final chapter on Fundamentals of the Quantum Theory of Chemical Bonding is continued in an extended way in the textbook Molecular Physics and Elements of Quantum Chemistry by the same authors. This book contains, in particular, a profound presentation of group theory as applied to atoms and molecules. Furthermore, the in­ teraction between atoms and molecules and light is treated in detail. We thank again Springer-Verlag, in particular Dr. H.1. Kblsch and Mr. C.-D. Bachem for their excellent cooperation as always, and Prof. W. D. Brewer for his con­ tinuous support in translating our German text. Stuttgart, February 1994 H. Haken H. C. Wolf Preface to the Third Edition The second edition of this book again enjoyed a very positive reception from both uni­ versity teachers and students. In this edition we have removed all of the typographical errors that came to our attention. In order to keep the book as current as possible, new developments in the direct observation of individual atoms in electromagnetic traps (Paul traps) and of atoms in molecules on solid surfaces using the scanning tunnel microscope have been added to this edition.

This volume presents the state-of-the-art in selected topics across modern nuclear physics, covering fields of central importance to research and illustrating their connection to many different areas of physics.

This book aims to coherently present applications of group analysis to integro-differential equations in an accessible way. The book will be useful to both physicists and mathematicians interested in general methods to investigate nonlinear problems using symmetries.

James L. Burch·C. Philippe Escoubet Originally published in the journal Space Science Reviews, Volume 145, Nos 1–2, 1–2. DOI: 10. 1007/s11214-009-9532-7 © Springer Science+Business Media B. V. 2009 The IMAGE and CLUSTER spacecraft have revolutionized our understanding of the inner magnetosphere and in particular the plasmasphere. Before launch, the plasmasphere was not a prime objective of the CLUSTER mission. In fact, CLUSTER might not have ever observed this region because a few years before the CLUSTER launch (at the beginning of the 1990s), it was proposed to raise the perigee of the orbit to 8 Earth radii to make multipoint measu- ments in the current disruption region in the tail. Because of ground segment constraints, this proposal did not materialize. In view of the great depth and breadth of plasmaspheric research and numerous papers published on the plasmasphere since the CLUSTER launch, this choice certainly was a judicious one. The fact that the plasmasphere was one of the prime targets in the inner magnetosphere for IMAGE provided a unique opportunity to make great strides using the new and comp- mentary measurements of the two missions. IMAGE, with sensitive EUV cameras, could for the rst time make global images of the plasmasphere and show its great variability d- ing storm-time. CLUSTER, with four-spacecraft, could analyze in situ spatial and temporal structures at the plasmapause that are particularly important in such a dynamic system.

Magnetohydrodynamics, or MHD, is a theoretical way of describing the statics and dynamics of electrically conducting uids. The most important of these uids occurring in both nature and the laboratory are ionized gases, called plasmas. These have the simultaneous properties of conducting electricity and being electrically charge neutral on almost all length scales. The study of these gases is called plasma physics. MHD is the poor cousin of plasma physics. It is the simplest theory of plasma dynamics. In most introductory courses, it is usually afforded a short chapter or lecture at most: Alfven ´ waves, the kink mode, and that is it. (Now, on to Landau damping!) In advanced plasma courses, such as those dealing with waves or kinetic theory, it is given an even more cursory treatment, a brief mention on the way to things more profound and interesting. (It is just MHD! Besides, real plasma phy- cists do kinetic theory!) Nonetheless, MHD is an indispensable tool in all applications of plasma physics.

This book contains contributions to the 172. WE-Heraeus-Seminar “Atoms and Molecules in Strong External Fields,” which took place April 7–11 1997 at the Phys- zentrum Bad Honnef (Germany). The designation “strong fields” applies to external static magnetic, and/or electric fields that are sufficiently intense to cause alterations in the atomic or molecular str- ture and dynamics. The specific topics treated are the behavior and properties of atoms in strong static fields, the fundamental aspects and electronic structure of molecules in strong magnetic fields, the dynamics and aspects of chaos in highly excited R- berg atoms in external fields, matter in the atmosphere of astrophysical objects (white dwarfs, neutron stars), and quantum nanostructures in strong magnetic fields. It is obvious that the elaboration of the corresponding properties in these regimes causes the greatest difficulties, and is incomplete even today. Present-day technology has made it possible for many research groups to study the behavior of matter in strong external fields, both experimentally and theore- cally, where the phrase “experimentally” includes the astronomical observations. - derstanding these systems requires the development of modern theories and powerful computational techniques. Interdisciplinary collaborations will be helpful and useful in developing more efficient methods to understand these important systems. Hence the idea was to bring together people from different fields like atomic and molecular physics, theoretical chemistry, astrophysics and all those colleagues interested in aspects of few-body systems in external fields.