This book is a short outline of the present state of the theory of electron collisions with atomic particles - atoms, molecules and ions. It is addressed to those who by nature of their work need detailed information about the cross sections of various processes of electron collisions with atomic particles: experimentalists working in plasma physics, optics, quantum electronics, atmospheric and space physics, 'etc. Some of the cross sections have been measured. But in many important cases the only source of information is theoretical calcu lation. The numerous theoretical papers dealing with electronic collision processes contain various approximations. The inter relation between them and the level of their accuracy is often diffi cult to understand without a systematic study of the theory of atomic collisions, not to mention that theoretical considerations are necessary for the consistent interpretation of experimental results. The main constituents of the book are: 1. General theory with special emphasis on the topics most impor tant for understanding and discussing electron collisions with atomic particles."

This monograph deals with the behavior of essentially nonlinear heterogeneous materials in processes occurring under intense dynamic loading, where microstructural effects play the main role. This book is not an introduction to the dynamic behavior of materials, and general information available in other books is not included. The material herein is presented in a form I hope will make it useful not only for researchers working in related areas, but also for graduate students. I used it successfully to teach a course on the dynamic behavior of materials at the University of California, San Diego. Another course well suited to the topic may be nonlinear wave dynamics in solids, especially the part on strongly nonlinear waves. About 100 problems presented in the book at the end of each chapter will help the reader to develop a deeper understanding of the subject. I tried to follow a few rules in writing this book: (1) To focus on strongly nonlinear phenomena where there is no small parameter with respect to the amplitude of disturbance, including solitons, shock waves, and localized shear. (2) To take into account phenomena sensitive to materials structure, where typical space scale of material parameters (particle size, cell size) are presented in the models or are variable in experimental research.

Emphasis is placed on the analysis of translational, rotational, vibrational and electronically excited state kinetics, coupled to the electron Boltzmann equation.

The first international conference on "Theory and Applications of Moment Methods in Many-Fermion Systems" was held September 10 - 13, 1979 at Iowa State University. Manuscripts of the invited talks presented at this conference are the contents of this volume. These manuscripts were prepared and delivered to the editors by the authors; the responsibility for any errors in scientific con tent is theirs. While we, the editors, have made every effort to keep this volume as free from typographical errors as possible, we accept responsibility for such errors as do occur, even those which may be mistaken for scientific error. All but one of the invited talks given at the conference are reported here; those authors apparently felt unable to provide the editors with manuscripts. The editors. who also served as the organizing committee, would like to express appreciation to the sponsors of this con ference: Physics Department, Ames Laboratory, Energy and Mineral Resources Research Institute, and the Graduate College, all of Iowa State University, the National Science Foundation, and the U. S. Department of Energy. Their generosity both in terms of funding and support made the conference possible. We should also like to express our gratitude to the Interna tional Advisory Committee whose prestige lent support to the con ference and whose advice in topic selection was invaluable. Those members were: Grenoble, France R. Arvieu C. Bender Lawrence Livermore Laboratory J. B. French University of Rochester Fowler California Institute of Technology W."

Volume 1: General Introduction to Molecular Sciences Volume 2: Physical Aspects of Molecular Systems Volume 3: Electronic Structure and Chemical Reactivity Volume 4: Molecular Phenomena in Biological Sciences

Nobel Symposium No. 30 on the Physics of the Hot Plasma in the Magnetosphere was held at Kiruna Geophysical Institute, Kiruna, Sweden from April 2-4, 1975. Some 40 leading experts from America, USSR, and Western Europe attended the Symposium. The purpose of the meeting was to review and discuss the physics of the hot plasma in the magnetosphere with special empha sis on unsolved problems on which attention needs to be focused during the International Magnetospheric Study 1976-1978. The field is very extensive and complete coverage of all aspects was of course not possible. The radiation belts proper were, for instance, not covered. There were no formal contributed papers, but much time was devoted to discussion. These proceedings contain all review papers except the one by R.Z. Sagdeev. They are ordered by subject, starting, after the introductory lecture, with the problem of how the plasma enters the magnetosphere and ending with the question of the interaction with the ionosphere. The Organizing Committee for the symposium was composed of the following Swedish scientists: E.-A. Brunberg, C.G. Fa1thammar, I. Hu1then, B. Hu1tqvist (chairman), L. Stenf10, and H. Wilhe1msson. The Symposium was financed by the Nobel Foundation through grants from the Tercentenary Foundation of the Bank of Sweden, by the Swedish Board for Space Activities, and the Royal Swedish Academy of Sciences, which is gratefully acknowledged. Appreciated contributions "in natura" were also received from the town of Kiruna and the LKAB Company."

This volume is based on a meeting on Quantum Mechanics of Fundamental Systems, held December 17-20 of 1987, at the Centro de Estudios Cientificos de Santiago (CECS). The meeting was intended to review new developments in the field defined by its purposely vague title. We were especially interested in communicating important advances in a broad perspective and in a self-contained manner to a wide colleague- ship, and in particular to Latin American physicists. Whatever success we may have achieved in that direction would cer- tainly not have been possible without the help and generosity of many people. For their kind support we thank the Tinker Foundation, the Inter- national Centre for Theoretical Physics, the Ministere des Affaires Etrangeres et Service Culturel et de Cooperation Scientifique et Technique de France and the Centro Latinoamericano de Fisica. We are especially grateful to the Santiago College and to its principal, Rebeca Donoso, for allowing us to hold the meeting at that school when, at the last moment, we were deprived of the previously arranged meeting site. Last but not least we thank the participants for an extraordinary week and the CECS staff for performing, as usual, beyond any reasonable expectation.

At the Denver X-Ray Conference, the topic for the plenary lectures alternates annually between x-ray diffraction and x-ray fluorescence. This year is a "diffraction" year, and the theme is accuracy in powder diffraction. Instead of comprehensive cover age, such as was attempted at the Accuracy in Powder Diffraction Meeting held at the National Bureau of Standards in 1978, this meeting focuses on recent developments in measurement accuracy of two-theta and intensity. The focus on accuracy, from the practical point of view, is important in a wide range of x-ray diffraction measurements. Accu rate data improve our ability to identify phases in a mixture using the Powder Diffraction File. Improved accuracy is essential for better characterization of the lattice, crystallite size, strain and structure. Finally, the accuracy of quantitative analysis is of great concern in many laboratories. The five invited papers of the plenary session give a broad perspective of recent activity throughout the world on uses of more accurate data, on methods to achieve greater accuracy, and on fundamental factors affecting the accuracy. The scope of the conference, however, is much broader than that of the plenary session. The workshops lead off with many practical aspects of x-ray analysis. Many of the contributed papers expand on the theme of accuracy in x-ray powder diffraction. In particular, the s.ession on XRD quantitative phase analysis provides an exception al coverage of the limitations in quantitative analysis and of the techniques being employed to improve the results."

The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians."

This book covers the state of the art in the physics of small particles and clusters. It covers a wide range of topics from quantization of free clusters, laser spectroscopy of clusters, fullerenes, clusters on supporting surfaces and much more. The papers can also be found in Zeitschrift fur Physik D.

'Et moi. ... Ii j'avait su CClIIIIIIaIt CD 1'CVCDir, ODe scmcc matbcmatK: s bas I'CIIdcRd be je D', semis paiDt . humaD mcc. It bas put common sease bact Jules Vcmc 'WIIcR it bdoDp, 011 be topmost sbdl JlCXt 10 be dully c: uista' t.bdlcd 'cIiIc: arded DOlI- The series is diverpt; therefore we may be sense'. Eric T. BcII able 10 do sometbiD& with it O. Heavilide Mathematics is a tool for thought. A highly ncceuary tool in a world where both feedback and non- 1inearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the l'Iison d'etre of this series."

100 keV) of neutral hydrogen 7 atoms . The design of the cesium jettarget intended to achieve the 7 following goals : - Supersonic nozzle - cooled skimmer system to increase the fraction 8 of the total nozzle flux Jn which is used as the jettarget flux Jt, 8 = Jt/Jn, from low values 8 < 10 % re- ported for sonic nozzles4 to at least 50 %.

The year 1985 represents a special anniversary for people dealing with Ooulomb systems. 200 years ago, in 1785, Oharles Auguste de Ooulomb (1736-1806) found "Ooulomb's law" for the interaction force between charged particles. The authors want to dedicate this book to the honour of the great pioneer of electrophysics. Recent statistical mechanics is mainly restricted to systems of neutral particles. Except for a few monographs and survey articles (see, e. g., IOHIMARU, 1973, 1982; KUDRIN, 1974; KLIMONTOVIOH, 1975; EBELING, KRAEFT and KREMP, 1976, 1979; KALMAN and CARINI, 1978; BAUS and HANSEN, 1980; GILL, 1981, VELO and WIGHT MAN, 1981; MATSUBARA, 1982) the extended material on charged particle systems, which is now available thanks to the efforts of many workers in statistical mechanics, is widely dispersed in many original articles. It is the aim of this monograph to represent at least some part of the known results on charged particle systems from a unified point of view. Here the method of Green's functions turns out to be a powerful method especially to overcome the difficulties connected with the statistical physics of charged particle systems; some of them are . mentioned in the introduction. Here we can point, e.g., to the appearance of bound states in a medium and their role as new entities."

Quantum theory presents a strange picture of the world, offering no real account of physical properties apart from observation. Neils Bohr felt that this reflected a core truth of nature: "There is no quantum world. There is only an abstract mathematical description." Among the most significant developments since Bohr 's day has been the theorem of John S. Bell. It is important to consider whether Bell 's analysis supports such a denial of microrealism. In this book, we evaluate the situation in terms of an early work of Erwin Schr dinger. Doing so, we see how Bell 's theorem is conceptually related to the Conway and Kochen Free Will theorem and also to all the major anti-realism efforts. It is easy to show that none of these analyses imply the impossibility of objective realism. We find that Schr dinger 's work leads to the derivation of a new series of theoretical proofs and potential experiments, each involving entanglement, the link between particles in some quantum systems..

In this volume we compare modem observations of solar flares with results from recent theoretical research and simulation studies on current-carrying loops and their interaction. These topics have undergone rapid developments in the course of recent years. Observational results by X-ray monitoring and imaging spacecraft in the seventies and by dedicated imaging instrumentation in the satellites Solar Max imum Mission and Hinotori, launched 1980 and 1981, have shown the importance of X-ray imaging for understanding the ignition processes of solar flares. Such observations, in tum, stimulated theoretical studies, centered around the flux-tube concept. The classical idea that flares originate by interaction of current-carrying loops was developed and proved to be promising. Concepts on reconnection and coalescence of flux tubes were developed, and their consequences studied. The Yohkoh spacecraft, launched 1991, showed the overwhelming importance of coro nal flux tubes and their many possible ways of interaction. Subsequent and parallel theoretical studies and simulations, differentiating between the topology of interact ing fluxtubes, demonstrated that the mutual positioning and the way of interaction are important for the subsequent processes of energy release in flares and the many associated phenomena such as the expUlsion of jets and the emission of X -ray and microwave radiation. The new developments now enable researchers to understand and classify flares in a physically significant way. Various processes of accelera tion are active in and after flares on greatly varying timescales; these can now be distinguished and explained.

This is the first book-length treatment of both the theoretical background to fluorescence correlation spectroscopy (FCS) and a variety of applications in various fields of science. The high spatial and temporal resolution of FCS has made it a powerful tool for the analysis of molecular interactions and kinetics, transport properties due to thermal motion, and flow. It contains an essential contribution from Nobel Prize winner M. Eigen, who is credited with inventing FCS.

Leading investigators offer the first comprehensive study of gas phase photoionization research in the VUV and soft X-ray regime since the massive employment of synchrotron radiation as a spectroscopic tool. Chapters cover all aspects of photoionization phenomena from total cross sections to highly differentiated measurements such as coincidence experiments and spin-resolved electron spectroscopy. This work is abundant with illustrations.

2 The linearized ideal MHO equations. . . . . . . . . . . . 204 3 Spectral problems corresponding to evolutionary problems . . 211 4 Stability of equilibrium configurations and the Energy Principle 215 5 Alternative forms of the plasma potential energy 220 6 Minimization of the potential energy with respect to a parallel displacement . . . . . . . . . . . . . 222 7 Classification of ideal MHO instabilities . 224 8 The linearized non-ideal MHO equations . 226 Chapter 6. Homogeneous and discretely structured plasma oscillations 229 I Introduction . . . . . . . . . . . . . . . 229 2 Alfven waves in an incompressible ideal plasma 230 3 Cold ideal plasma oscillations. . . . 233 4 Compressible hot plasma oscillations 236 5 Finite resistivity effects . . . . . . . 239 6 Propagation of waves generated by a local source 240 7 Stratified plasma oscillations . . . . . . . . . 247 8 Oscillations of a plasma slab . . . . . . . . . 254 9 Instabilities of an ideal stratified gravitating plasma 256 10 Instabilities of a resistive stratified gravitating plasma. 262 Chapter 7. MHO oscillations of a gravitating plasma slab 265 I Introduction . . . . . . . . . . . . . . . 265 2 Gravitating slab equilibrium . . . . . . . . 266 3 Oscillations of a hot compressible plasma slab 267 4 Investigation of the slab stability via the Energy Principle 270 5 On the discrete spectrum of the operator Kk . . . . . . 274 6 On the essential spectrum of the operator Kk . . . . . . 279 7 On the discrete spectrum embedded in the essential spectrum 282 8 The eigenfunction expansion formula . . . . . . . . . . 285 9 Excitation of plasma oscillations by an external power source . 288 10 The linearized equations governing resistive gravitating plasma slab oscillations . . . . . . . . . . . . . . . . . . . . . 290 II Heuristic investigation of resistive instabilities. . . . . . . . . .

The practical properties of many materials are dominated by surface and near-surface composition and structure. An understanding of how the surface region affects material properties starts with an understanding of the elemental composition of that region. Since the most common contaminants are light elements (for example, oxygen, nitrogen, carbon, and hydrogen), there is a clear need for an analytic probe that simultaneously and quantitatively records elemental profiles of all light elements. Energy recoil detection using high-energy heavy ions is unique in its ability to provide quantitative profiles of light and medium mass elements. As such this method holds great promise for the study of a variety of problems in a wide range of fields. While energy recoil detection is one of the newest and most promising ion beam analytic techniques, it is also the oldest in terms of when it was first described. Before discussing recent developments in this field, perhaps it is worth reviewing the early days of this century when the first energy recoil detection experiments were reported.

Proceedings of the Second World Conference, Paris, France, June 16-20, 1986

Scattering phenomena play an important role in modern physics. Many significant discoveries have been made through collision experiments. Amongst diverse kinds of collision systems, this book sheds light on the collision of an electron with a molecule. The electron-molecule collision provides a basic scattering problem. It is scattering by a nonspherical, multicentered composite particle with its centers having degrees of freedom of motion. The molecule can even disintegrate, Le., dissociate or ionize into fragments, some or all of which may also be molecules. Although it is a difficult problem, the recent theoretical, experimental, and computational progress has been so significant as to warrant publication of a book that specializes in this field. The progress owes partly to technical develop ments in measurements and computations. No less important has been the great and continuing stimulus from such fields of application as astrophysics, the physics of the earth's upper atmosphere, laser physics, radiation physics, the physics of gas discharges, magnetohydrodynamic power generation, and so on. This book aims at introducing the reader to the problem of electron molecule collisions, elucidating the physics behind the phenomena, and review ing, to some extent, up-to-date important results. This book should be appropri ate for graduate reading in physics and chemistry. We also believe that investi gators in atomic and molecular physics will benefit much from this book."

Writing even in overview of more than a half-century of professional life of a giant of twentieth century science and technology such as Edward Teller is a daunting task. We ask in advance the reader's pardon for passing over quickly or omitting entirely aspects of Teller's life and work which may seem of major significance but which we, due to differences of perspective or knowledge, speak too little or not at all. We refer those interested in greater depth to the excellent biography by Stanley Blumberg and Gwen Owens, The Life and Times of Edward Teller, and we have (with his permission) printed Professor Eugene Wigner's An Appreciation On the 60th Birthday of Edward Teller immediately after this foreword, so that the reader may consider the perspective of one of Teller's most illustrious contemporaries more than two decades ago. Edward Teller was born in Budapest, Hungary on January 15,1908. While his childhood was spent in the twilight of the Victorian age and its abrupt conclusion in the Great War and his youth in its especially turbulent after math in central Europe, he doesn't bear visible scars from it."

This book evolved out of some one hundred lectures given by twenty experts at a special instructional conference sponsored by the University Grants Commis sion, India. It is pedagogical in style and self-contained in several interrelated areas of physics which have become extremely important in present-day theoretical research. The articles begin with an introduction to general relativity and cosmology as well as particle physics and quantum field theory. This is followed by reviews of the standard gauge models of high-energy physics, renormalization group and grand unified theories. The concluding parts of the book comprise discussions in current research topics such as problems of the early universe, quantum cosmology and the new directions towards a unification of gravitation with other forces. In addition, special concise treatments of mathematical topics of direct relevance are also included. The content of the book was carefully worked out for the mutual education of students and research workers in general relativity and particle physics. This ambitious programe consequently necessitated the involvement of a number of different authors. However, care has been taken to ensure that the material meshes into a unified, cogent and readable book. We hope that the book will serve to initiate and guide a student in these different areas of investigation starting from first principles and leading to the exciting current research problems of an interdisciplinary nature in the context of the origin and structure of the universe."

The problem of molecules interacting with metal surfaces has for a very long time been recognized to be of considerable technological as well as fundamental importance. Thus in the former category, a substantial number of important synthetic reactions for industrial purposes make use of metal surfaces as catalysts. Or again, problems of corrosion of metals are of great practical importance, such as in nuclear-reactor technology see, for instance, my earlier articles, in: Physics Bulletin, Volume 25, p. 582, Institute of Physics, UK (1974); and in: Physics and Contemporqry Needs (Riazuddin, ed. ), Vol. 1, p. 53, Plenum Press, New York (1977)]. It is therefore of significance to strive to gain a more fundamental understand ing of the atomic, and ultimately the electronic, processes that occur when a molecule is brought into the proximity of a metal surface. The present volume focuses mainly on the theory and concepts involved; however, it is intended for readers in chemistry, physics, and materials science who are not specialists in theory but nevertheless wish to learn more about this truly interdisciplinary area of theoretical science. The aim of the book is to present the way in which valence theory can be synthesized with the understanding of metals that has been gained over the last half century or so. While advanced theory has at times been necessary, is largely presented in an extensive set of Appendixes."

This volume represents the proceedings of a NATO Advanced Study Institute held at Noto, Sicily June 8-19, 1987. The director was Giovanni Gallavotti, Roma, with co-directors Marcello Anile, Catania and P. F. Zweifel, Virginia Tech. Other members of the scientific organizing committee included Mitchell Feigenbaum, Rockefeller University and David Ruelle, IHES. The attendance at the school consisted of 23 invited speakers and approximately 80 "students," the term student being in quotation marks because many of them were of post-doctoral or even professorial status, although there were also a goodly number of actual graduate students in attendance also. Because of the disparate background of these "students," it was felt advisable to include at the conference special tutorials each afternoon, in which the contents of the morning's lectures were reviewed and clarified as necessary. These tutorials, organized by Gallavotti, involved various of the speakers, organizers, and other senior members of the school, and contributed in no little way to the overall success of the school. The organizers of the school would like to take this opportunity to thank all of those who assisted in these sessions, and to assure them that the results were definitely worth the effort. Also contributing to the success of the school were a number of contributed papers, presented during the course of the afternoon tutorials. Three of those papers are included in these proceedings; they are the papers of DiFrancesco; Gallimbeni, Miari and Sertorio (presented by Sertorio); and Vittot.