As its name suggests, the 1988 workshop on "Interacting Electrons in Reduced Dimen the wide variety of physical effects that are associated with (possibly sions" focused on strongly) correlated electrons interacting in quasi-one- and quasi-two-dimensional mate rials. Among the phenomena discussed were superconductivity, magnetic ordering, the metal-insulator transition, localization, the fractional Quantum Hall effect (QHE), Peierls and spin-Peierls transitions, conductance fluctuations and sliding charge-density (CDW) and spin-density (SDW) waves. That these effects appear most pronounced in systems of reduced dimensionality was amply demonstrated at the meeting. Indeed, when concrete illustrations were presented, they typically involved chain-like materials such as conjugated polymers, inorganic CDW systems and organie conductors, or layered materials such as high-temperature copper-oxide superconductors, certain of the organic superconductors, and the QHE samples, or devices where the electrons are confined to a restricted region of sample, e. g. , the depletion layer of a MOSFET. To enable this broad subject to be covered in thirty-five lectures (and ab out half as many posters), the workshop was deliberately focused on theoretical models for these phenomena and on methods for describing as faithfully as possible the "true" behav ior of these models. This latter emphasis was especially important, since the inherently many-body nature of problems involving interacting electrons renders conventional effec tive single-particle/mean-field methods (e. g. , Hartree-Fock or the local-density approxi mation in density-functional theory) highly suspect. Again, this is particularly true in reduced dimensions, where strong quantum fluctuations can invalidate mean-field results.

This book contains the invited lectures and contributed papers presented at the V International Conference on the Physics of Highly Charged Ions, which was held at the lustus-Liebig-Universi tat Giessen, 10-14 September 1990. This conference was the ftfth in a series -after Stockholm (1982), Oxford (1984), Groningen (1986) and Grenoble (1988) -to deal with a rapidly growing fteld, which comprises the spectroscopy of highly charged ions and their interactions with photons, electrons, atoms, ions, and solids. Most of the matter of the universe is in the ionized state. Investigations dealing with hot plasmas on earth have been greatly furthered by thermonuclear-fusion research. The increasing maturity of this programme has revealed the fundamental role of highly charged ions in fusion plasmas. Today, it is clear that a detailed knowledge of the production mechanisms of highly charged ions and their interactions with other plasma constituents is an important prerequisite for a better understanding of the microscopic and macroscopic plasma properties. The study of highly charged ions involves various branches of physics. It was the aim of the conference to bring together physicists working in atomic collisions and spectroscopy, in plasma physics and astrophysics, as well as in solid-state and ion-source physics. About 220 scientists from 20 nations attended the conference, indicating the strong worldwide interest and the vital ity of research in this fteld.

"Nuclear and Particle Physics" both have been very distinct subjects for decades, and are now developing more and more interfaces. Thus, hitherto typical methods of particle physics are adopted by nuclear physics. The authors try to build bridges between both fields and give nuclear physicists a thorough introduction from the fundamentals of particle physics to current research in this field. Contents: - Introduction - Preliminaries and Simple Models - Currents, Anomaly, Solitons, and Fractional Fermions - More on Chiral Symmetry - Introduction to Instantons - Relevance of Instantons - Chiral Perturbation Theory - The Topological and Non-Topological Soliton Model - QCD Sum Rules - References

The Sixth International Conference on Time-Resolved Vibrational Spectroscopy was held from May 23 to 28, 1993 in Berlin, Germany. It continued the series of biennial conferences initiated in 1982 by Prof. George Atkinson (University of Arizona) at Lake Placid, USA, followed by conferences which were chaired by Prof. Alfred Laubereau (University of Bayreuth) and Dr. Manfred Stockburger (Max-Planck-Institut, G6ttingen) at Bayreuth-Bischofsgrtin, Germany, in 1985, by Prof. Joop D.W. Van Voorst (University of Amsterdam) at Amersfoort, The Netherlands, in 1987, Prof. Thomas G. Spiro (Princeton University) at Princeton, USA, in 1989, and by Prof. Hiroaki Takahashi (Waseda University) at Tokyo, Japan, in 1991. The Berlin conference attracted 120 participants from 19 different countries, representing the most active scientific groups of the world in this field. Since 1982 the field has benefited from the development of lasers with shorter pulses and of reliable tunable light sources in the infrared. Now, the main activities are focused on the primary photo-induced processes and their excited-state dynamics and on detailed investigations in photochemistry and photobiology. The high quality of the contributions given at this conference is reflected in this proceedings volume and will provide all scientists interested in this field with current state-of-the-art results.

Plasma Spectroscopy systematically develops the foundations of spectroscopy for plasmas subjected to quasi-monochromatic electric fields in the microwave or visible range. Such fields may be due to longitudinal Langmuir waves or low hybrid oscillations, which are excited in pulsed discharged or by high-current beams of charged particles. Even more important are the transverse fields present in the plasmas of tokamaks, laser fusion, and technological microwave discharges. This book is intended for researchers dealing with plasma spectroscopy, plasma diagnostics, high frequency and microwave discharges, laser induced discharges, particle and laser-beam interactions with plasmas, controlled fusion, and ionospheric and astrophysical plasmas. It describes methods for measuring the field and plasma parameters and discusses their practical application. It also presents new results on nonpertubative analysis of the interaction of quantum systems with a strong radiation field.

This volume deals with the interaction between moments of excited or radioactive nuclei and electromagnetic fields. The experimental techniques developed for the observation of this hyperfine interaction are governed by the lifetime of the nuc lear states in question. The dynamics of the interaction are reflected by the time dependence of the spatial distribution of the radioactive decay radiation. Basically, the experiments yield information on the energy shifts and/or splittings of the nuc lear levels. These quantities are determined essentially by the product of the nuc lear moment and the electromagnetic field acting at the site of the nucleus. Due to the strong decrease in the fields with distance, the measurements probe these fields within a highly localized region centered around the radioactive nuclei. Detailed experimental methods with numerous ramifications were developed in the early sixties. In the period which followed, the main emphasis was on excitation of short-lived nuclear states by means of pulsed particle accelerators, implantation of radioactive nuclei, and production of polarized a-unstable nuclei by nuclear re actions with polarized neutrons or particles. The seventies were a period of fruit ful applications directed to extensive studies of the moments of excited nuclear states on the one hand, and local internal fields on the other, resulting in far reaching information on atomic and solid-state properties. The organization of this Topics volume follows these main lines of research."

The theory of atom-molecule collisions is one of the basic fields in chemi cal physics. Its most challenging part - the dynamics of chemical reactions - is as yet unresolved, but is developing very quickly. It is here a great help to have an analysis of those parts of collision theory which are already complete, a good example being the theory of atomic collisions in process es specific to chemical physics. It has long been observed that many notions of this theory can also be applied successfully to reactive and unreactive molecular collisions. More over, atomic collisions often represent a touchstone in testing approaches proposed for the solution of more complicated problems. Research on the theory of slow atomic collisions carried out at the Moscow Institute of Chemical Physics has been based on just these ideas. A general viewpoint concerning the setting up and representation of the theory came out of these studies, and appeared to be useful in studying complicated systems as well. It underlies the representation of the theory of slow atomic colli sions in this book."

Quantum Optics VI documents the most recent theoretical and experimental developments in this field, with particular emphasis on atomic optics and interferometry, which is a new and rapidly developing area of research. New methods for quantum-noise reduction are also covered.

This volume contains contributions based on the lectures delivered at the Third In ternational Workshop on Nonlinear Dynamics and Quantum Phenomena in Opti cal Systems, which was held in Blanes, Girona, Spain, 1-3 October 1990. Blanes is a charming small town located on the well-known Costa Brava. With the con venient facilities of the Centre for Advanced Studies (CEAB), Blanes followed of the previous meetings of this series, which were held at Palma the tradition de Mallorca and Santander. We aimed to provide an opportunity for scientists active in the broad field of quantum optics to meet in an informal atmosphere, thus promoting the ex change of ideas and allowing a search for interconnections between seemingly unrelated topics and a cross fertilization of the different subfields of quantum optics. We encouraged contributions dealing with the newest and most important developments in quantum optics. The main topics included instabilities, chaos, spatiotemporal dynamics, and pattern formation in lasers and nonlinear optical devices; phase dynamics; generation and detection of squeezed and other non classical states of light; coherent interaction of light with atomic systems; and multiphoton processes and above-threshold ionization. The meeting brought together a group of 72 optical scientists from Belgium, France, Germany, Israel, Italy, Spain, the United Kingdom, USA, and USSR. In the technical program, nine invited papers were included, presented by eight distinguished specialists."

The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet there is much more involved than just a basic set of equations which eventually has to be solved when applied to specific problems. We have learned in recent years that the structure of the ground state of field theories (with which we are generally concerned) plays an equally funda mental role as the equations of motion themselves. Heisenberg was probably the first to recognize that the ground state, the vacuum, could acquire certain prop erties (quantum numbers) when he devised a theory of ferromagnetism. Since then, many more such examples are known in solid state physics, e. g. supercon ductivity, superfluidity, in fact all problems concerned with phase transitions of many-body systems, which are often summarized under the name synergetics. Inspired by the experimental observation that also fundamental symmetries, such as parity or chiral symmetry, may be violated in nature, it has become wide ly accepted that the same field theory may be based on different vacua. Practical ly all these different field phases have the status of more or less hypothetical models, not (yet) directly accessible to experiments. There is one magnificent ex ception and this is the change of the ground state (vacuum) of the electron-posi tron field in superstrong electric fields."

Marcos Moshinsky was born on 20 April 1921, in Kiev, Ukraine, and em- igrated to Mexico at the age of four. He began work at the Universidad N acional Aut6noma de Mexico on 1 January 1942, as a laboratory assis- tant working on the measurement of cosmic rays. He pursued his graduate studies at Princeton University, and wrote his thesis under the supervision of Professor Eugene Wigner. Since 1949, and in spite of many visits and temporary posts held abroad, Moshinsky has been based in Mexico. Through example and encouragement, Moshinsky may be credited to a large extent with the shaping of Mexican scientific research. He has di- rected 40 B. Sc. , M. Sc. , and Ph. D. theses, and published over 200 scientific articles and four books; he holds all the Mexican science prizes, and sev- eral international ones, being a member of 11 academies of learning. Talent and circumstance have placed Marcos Moshinsky at the origin of several of the enterprises of the Mexican and Latin American scientific communities: he was founding editor of the Revista Mexicana de F{sica from 1952 to 1967; the Escuela Latinoamericana de Fisica was initiated and five times organized by him in Mexico; he was founding member and later president of the Academia de la Investigaci6n Cientifica (1962-1963), the Sociedad Mexicana de Fisica (1967-1969), and the Centro Internacional de Fisica y Matematicas A plicadas (1986-), in Cuernavaca.

This monograph was written while the author was a visitor at the Center for Theoretical Studies at the University of Miami, Coral Gables, Florida. The author wishes to thank Professor Behram Kursunoglu for the warm hospitality extended to him at the Center and to acknowledge the many interesting and fruitful discussions which he had with other visitors and with members of staff at the Center. Philip G. Burke v Contents 1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Scattering by a Short-Range Potential. . . . . . . . . . . . . . . 5 3. Scattering by a Coulomb Potential. . . . . . . . . . . . . . . . . . 11 4. Scattering by a Spin-Orbit Potential . . . . . . . . . . . . . . " 17 5. Scattering by One-Electron Atoms. . . . . . . . . . . . . . . . . . 23 6. Low-Energy Effective-Range Theory. . . . . . . . . . . . . . . . 39 7. Bound States and Resonances. . . . . . . . . . . . . . . . . . . . . . 55 8. Variational Methods and Bound Principles. . . . . . . . . . 75 9. Integral Equation Methods and the Born Approximation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 10. Semiclassical and Eikonal Methods . . . . . . . . . . . . . . . . . 117 Appendix. The Coupling of Angular Momenta . . . . . . . . . . . 127 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 vii 1 Introduction In this monograph we study the scattering of a particle by a potential field with particular reference to elastic electron scat tering by a neutral atom or by an ion. This subject is clearly of interest in its own right as a branch of quantum mechanical scattering theory. However, it also serves as an introduction to many of the basic theoretical concepts which are used in inelastic electron scattering and ionization. Consequently this mono graph can be viewed as an introduction to texts where these subjects are treated.

This volume contains the proceedings of the Eighth Taniguchi Interna- tional Symposium on the Theory of Condensed Matter, which was held at Shima Kanko Hotel in Shima, Japan, 10-13 April 1985. The topic of the Symposium was Valence Fluctuation and Heavy Fermion Systems, one of the most fundamental problems in present-day condensed matter physics. The dilute Kondo problem, which is one of the most typical and unique many-body problems in condensed matter physics, developed recently into the dense Kondo and the coherent Kondo lattice problems in the 4f elec- tron systems. It is accepted now that a large degeneracy in f-electron systems makes this latter situation possible by enhancing the single-site Kondo state relative to the inter-site magnetic interactions. Now, anoma- lous behavior in f-electron systems show rich variety and are called valence fluctuation phenomena as a whole. They have, however, a common fea- ture. In the lowest temperature region, they show either heavy Fermion- like character or a narrow gap formation at the Fermi energy. Discovery of superconductivity in the heavy Fermion systems is attracting more in- terest. Anyway, the valence fluctuating states are thought to be of fun- damental importance to bridge the gap between the localized magnetic states and the delocalized nownagnetic states.

In recent years there has been growing interest in the nucleon-nucleon correl ations inside nuclei. In many respects the motions of the nucleons can be very well described by an overall mean field, so that the motion of each nucleon is governed by the mean field due to all the other nucleons. This concept underlies the Fermi-gas, Hartree-Fock and shell models and has enabled a range of nuclear properties to be calculated, often to surprising accuracy. It gradually became clear, however, that these mean-field models are limited by the effects due to the very strong interactions between the nucleons that occur at short distances; these are the short-range correlations. They are responsible for instance for the high-momentum components in the nucleon momentum dis tribution, and prevent the simultaneous description of the nuclear density and momentum distributions by the same mean field. It thus becomes necessary to develop methods for including the effects of nucleon correlations in nuclei, and these are the main subject of this book. Some related problems of nuclear structure were discussed in an earlier book by the same authors: Nucleon Momentum and Density Distributions in Nuclei (Clarendon Press, Oxford, 1988). The main aim of that book was to study the effects of nucleon-nucleon correlations, both short-range and tensor, on the nucleon momentum distribution, which is particularly sensitive to these correl ations, and on the nucleon density distribution."

Nitrogen dioxide (N0 ) is notorious for its complex visible spectrum and has 2 frustrated many chemists and physicists. Despite their intense investigations the molecule still resists complete analysis of its spectrum. Because of the high density of lines, it is apparent that high-resolution measurements are essential to a thorough understanding of the spectrum. The major part of this book consists of an atlas, described in Chap. 2, of the absorption spectrum and the Stark modulation spectrum of N0 mea 2 sured using a cw dye laser. The narrow spectral width as well as the wide scan range of the dye laser made it possible to record the spectra contin uously over a wide range with Doppler-limited resolution. In the spectral range 16751-17885 em-I, about 13300 peaks have been observed in the absorption spectrum and their wave numbers, calibrated against Ar lines, are listed in the tables. The Stark modulation spectrum also shown provides useful information about the energy level structures complementary to that obtained from the absorption spectrum."

Long was I hugg'd close-long and long. Immense have been the preparations for me, Faithful and friendly the arms that have help'd me. Cycles ferried my cradle, rowing and rowing like friendly boatmen. For room to me stars kept aside in their own rings, They sent influences to look after what was to hold me. Before I was born out of my mother, generations guided me, My embryo has never been torpid, nothing could overlay it. -Walt Whitman, "Song of Myself" The womb is the seat of all mammalian life. In pregnancy, the uterus acquires this impor tance with the arrival of the fertilized egg, which takes up residence for periods ranging from about 2 weeks in the opossum to about 2 years in the elephant. The arrival of the embryo signals a crucial time for the establishment of pregnancy. For several days the blas tocyst remains free in the uterine lumen, where it depends on uterine secretions for its sur vival and differentiation. During this time, essential changes in the endometrium take place in preparation for attachment of the blastocyst and implantation. Early embryonic loss is an economic problem of global proportions in animal husbandry, where, in pigs and cattle for example, some 30% of all fertilizations fail to result in a pregnancy. In humans this figure may be even higher, and estimates of early spontaneous abortions range from 40 to 60% of all conceptions.

A treatment of the important aspects of physical chemistry on metal surfaces, including selective oxidation, desulfurization, cyclization, metal-organic chemical vapor deposition, alkane activation and hydrogen dissociation dynamics. Case studies focus on on the chemistry of selected systems, rather than the techniques, to convey the excitement of recent developments.

Eugene Wigner is one of the very few scientists that may safely be describedas creators of 20th-century physics. This volume of his Collected Works is devoted to his contributions to nuclear energy. In his Introduction and Annotations A.M. Weinberg surveys Wigner's contributions to nuclear-reaction physics and nuclear engineering, at the same time giving a glimpse of the early history of nuclear-reactor technology. Wigner himself gave a lively and critical account, which is published in this volume for the first time. Furthermore the book contains forty-two reports and memoranda from 1941 to 1945 and twelve of Wigner's many patents relating to nuclear energy.

During the last ten years an unprecedented effort has been directed towards study of the dynamics of ion collision phenomena in the gas phase, usually with a view to applications in diverse areas, ranging from fusion reactors and lasers to ionospheric and interstellar chemistry and gaseous electronics. The principal aim of this volume is to present a succinct overview of contemporary interests and trends in the field of low energy ion-electron and ion-atom (molecule) collision physics, with emphasis on fundamental aspects. Researchers and students will become acquainted, in a general and fairly non-specialized fashion, with recent progress in this area of continuing intense activity. The material is divided into two parts, dealing with atomic ions and molecular ions. Each of the nine chapters has been prepared by authors who are amongst the most eminent practitioners of contemporary ion collision physics. The book is dedicated to Professor J.B. Hasted, one of the pioneering workers who, in the course of his forty year career, helped establish atomic collision physics as a field in its own right.

This book is devoted to mathematical modeling of tokamak plasma. Since the appearance in 1982 of the first edition (in Russian), a considerable amount of experimental and theoretical material on tokamak research has been accumu lated. The new-generation devices, viz., TFTR, JET and JT-60 were put into operation. The first experiments on these units have confirmed the correctness of the basic physical concepts underlying their construction. Experiments on plasma heating with the help of neutral beams and high-frequency (HF) waves on previous generation devices made it possible to obtain high-P plasmas. The number of "medium-size" tokamaks in operation has increased. New experi mental results and advances in the theory have led to more complicated and perfected models of high-temperature plasma. Rapid progress in computer hardware and software has played an important role in the further development of mathematical modeling. While preparing the English edition of the book, we have revised the text considerably. Several new models which have undergone significant advance ment in recent years are described. A section devoted to models of RF (radio frequency) current drive has been added to Chap. 2. The reduced magneto hydrodynamic (MHD) equations for high-P plasma are now considered in detail in Chap. 3. Chapter 4 contains the latest results on anomalous thermal conductivity, diffusion coefficient and pinching. Two new sections are added to Chap. 5."

Cluster science studies the transition from atomic, and molecular physics or chemistry to the science and technology of condensed matter. Two main topics from this large field will be emphasized in this second volume of Atomic and Molecular Clusters. After an Introduction, Chap. 2 deals mainly with molecular clusters, how they react to positive or negative charges (Sect. 2.1 to 2.5), how they decompose and how they can be charged (Sect. 2.6 and 2.7), and how one can do chemistry with them (2.8 and 2.9). Clusters in contact with a macroscopic medium are treated in Chap. 3. It is from this domain that one can expect possible new applications of cluster science. The optical spectra of silver clusters in a dielectric medium are discussed in Sect. 3.1. Their properties have since long been used unknowingly to stain glass windows. Large clusters floating in an ambient pressure gas are called aerosols (Sect. 3.2). Their properties can be used to monitor air pollution. Development of a photographic film is due to supported silver clusters in a liquid environment (Sect. 3.3). Large semiconductor clusters, also called "quantum dots," have novel optical and electronic properties (Sect. 3.4). The optical properties of large clusters, in general, are reviewed in Sect. 3.5, and properties of clusters supported on clean surfaces are discussed in Sect. 3.6.

Acid rain, global warming, ozone depletion, and smog are preeminent environmental problems facing the world today. Non-thermal plasma techniques offer an innovative approach to the solution of some of these problems. There are many types of non-thermal plasma devices that have been developed for environmental applications. The potential of these devices for the destruction of pollutants or toxic molecules has already been demonstrated in many contexts, such as nitrogen oxides (NOX) and sulfur dioxide (SO2) in flue gases, heavy metals and volatile organic compounds (VOCs) in industrial effluents, and chemical agents such as nerve gases. This book contains a comprehensive account of the latest developments in non-thermal plasma devices and their applications to the disposal of a wide variety of gaseous pollutants.

"Chemical physics is a science of the physical foundations of chemical transformations" (N. N. Semenov). The main objective of chemical physics is to disclose the detailed mechanism of chemical reactions and to learn to control these processes. The physico-chemical approach hinges upon the extensive application of methods of molecular physics and chemical kinetics. Based originally on simple gas-phase processes, chemical physics gradually extended its sphere of interest to liquid-phase reactions and to processes taking place in solids, including polymers. At present, we witness the fact that the ideas and methods of this science penetrate deeper and deeper into modern molecular biology, including enzyme catalysis. This monograph treats, from the standpoint of modern chemical physics, the principal general and individual features of the structure and mechanism of action of various classes of oxidation-reduction (redox) metalloenzymes. There are several reasons for which this branch of science attracts the attention of specialists in various fields - from biologists and those working in medicine to chemists and theoretical physicists. First of all, is the enormous biological and biochemical importance of processes catalyzed by metalloenzymes. These include biological ox idation with oxygen, oxidative and photo-phosphorylation, atmospheric nitrogen fixation, assimilation of nitrates and sulphites, phototransport of electrons, hydrogen evolution and hydrogenation and photo-oxida tion of water, which is far from a complete list of such processes."

Research involving the chemical physics of the inert or rare gases continues unabated. This small volume is meant to deal with advances that have occurred in three selected areas over the past decade. It forms a natural outgrowth of earlier reviews and volumes that have dealt almost exclusively with pure rare-gas solids. Originally, a single chapter was envisaged to cover the topic of alloys and impurities in solid rare gases. However, over the past ten years this single chapter spawned many offshoots and eventually the project became too large for a single volume. Thus the present book contains only a small subset of possbile topics involving rare-gas solids intentionally doped with impurities. Chapter 1 gives a brief overview of current research devoted to the rare gases. This is followed by a comprehensive, self-contained chapter dealing with the most recent developments in the area of interatomic inter actions. Chapter 3 is concerned with the lattice dynamics of rare-gas solids doped with an impurity which is either another rare-gas or a small molecule. The final chapter deals with the spectroscopy of vibrating and rotating di atomic impurities in rare-gas solids. The birth of this volume was not without its labour pains. I should like to take this opportunity to thank the various people who have at one time or another been involved throughout its gestation period. Clearly, many important topics are omitted from this volume."

Hydrogen can behave as an alkaline metal or a halogen and can react with nearly all elements of the periodic table. This explains the large number of metal hydrides. Since T. Graham's first observation of the absorption of hydrogen in palladium in 1866 the behaviour of hydrogen in metals has been studied very extensively. The interest was motivated by the possible application of metal-hydrogen systems in new technologies (e.g., moderator material in nuclear fission reactors, reversible storage material for thermal energy and large amounts of hydrogen) and by the fact that metal hydrides show very exciting physical properties (e.g., superconductivity, quantum diffusion, order-disorder transitions, phase diagrams, etc.). Many of these properties have been determined for the stable hydrogen isotopes Hand D in various metals. In comparison, very little is known about the behaviour of the ra dioactive isotope tritium in metals. This book is a first attempt to summarize part of the knowledge of tritium gained in the last few years. In addition to the task of presenting the properties of tritium in metals, I have tried to compare these data with those of protium and deuterium. Furthermore, helium-3 is connected inse parably with tritium via the tritium decay. Therefore one chapter of this book is solely devoted to the curious properties of helium in metals caused mainly by its negligible solubility."