The aim of this volume is twofold. First, it is an attempt to simplify and clarify the relativistic theory of the hydrogen-like atoms. For this purpose we have used the mathematical formalism, introduced in the Dirac theory of the electron by David Hestenes, based on the use of the real Cli?ord algebra Cl(M) associated with the Minkwoski space-time M, that is, the euclidean 4 R space of signature (1,3). This algebra may be considered as the extension to this space of the theory of the Hamilton quaternions (which occupies an importantplaceintheresolutionoftheDiracequationforthecentralpotential problem). The clarity comes from the real form given by D. Hestenes to the electron wavefunctionthatreplaces, inastrictequivalence, theDiracspinor.Thisform is directly inscribed in the frame of the geometry of the Minkwoski space in which the experiments are necessarily placed. The simplicity derives from the uni?cation of the language used to describe the mathematical objects of the theory and the data of the experiments. The mathematics concerning the de?nition and the use of the algebra Cl(M) are not very complicated. Anyone who knows what a vector space is will be able to understand the geometrical implications of this algebra. The lecture will be perhaps more di?cult for the readers already acquainted with the complex formalism of the matrices and spinors, to the extent that the new language will appear di?erent from the one that they have used. But the correspondence between the two formalisms is ensured in the text at each stage of the theor

Angle and spin resolved Auger emission physics deals with the theoretical and numerical description, analysis and interpretation of such types of experiments on free atoms and molecules. This monograph derives the general theory applying the density matrix formalism and, in terms of irreducible tensorial sets, so called state multipoles and order parameters, for parameterizing the atomic and molecular systems, respectively. It is the first book on angle and spin-resolved Auger emission.

This volume contains contributions based on the lectures delivered and posters presented at the Fifth International Conference on Quantum Communication, Measurement and Computing (QCM&C-Y2K). This Conference is the fifth of a successful series hosted this time in Italy, was held in Capri, 3-7 July, 2000. The conference was attended by more than 200 participants from all over the world. There was also a high level of participation from graduate students, who greatly benefited from the opportunity to attend world-class conferences. The Conference Hall was hosted in La Residenza Hotel in Capri, where part of p- ticipants where housed, while others where housed in various cozy nearby - tels. All enjoyed the pleasant atmosphere offered by the island of Capri. There were 59 invited lectures given as oral presentations of 30 minutes and 94 poster papers. The major topics covered at the Conference where new experimental and theoretical results in quantum information. They were divided in five parts; i) Quantum Information and Communication, ii) Quantum Measurement, - coherence, and Tomography, iii) Quantum Computing, iv) Cryptography, v) Entanglement and Teleportation. We were lucky in that almost all major - perimental groups in the world working in this area were represented, as were the major theoreticians. There was very active audience participation. A n- ber of graduate students and post-docs were able to present their contributions in four after dinner poster sessions.

Fuzzy systems and soft computing are new computing techniques that are tolerant to imprecision, uncertainty and partial truths. Applications of these techniques in nuclear engineering present a tremendous challenge due to its strict nuclear safety regulation. The fields of nuclear engineering, fuzzy systems and soft computing have nevertheless matured considerably during the last decade. This book presents new application potentials for Fuzzy Systems and Soft Computing in Nuclear Engineering. The root of this book can be traced back to the series of the first, second and third international workshops on Fuzzy Logic and Intelligent Technologies in Nuclear Science (FUNS), which were successfully held in Mol, September 14-16, 1994 (FLINS'94), in Mol, September 25-27, 1996 (FLINS'96), and in Antwerp, September 14-16, 1998 (FLINS'98). The conferences were organised by the Belgian Nuclear Research Centre (SCKeCEN) and aimed at bringing together scientists, researchers, and engineers from academia and industry, at introducing the principles of fuzzy logic, neural networks, genetic algorithms and other soft computing methodologies, to the field of nuclear engineering, and at applying these techniques to complex problem solving within nuclear industry and related research fields. This book, as its title suggests, consists of nuclear engineering applications of fuzzy systems (Chapters 1-10) and soft computing (Chapters 11-21). Nine pertinent chapters are based on the extended version of papers at FLINS'98 and the other 12 chapters are original contributions with up-to-date coverage of fuzzy and soft computing applications by leading researchers written exclusively for this book."

This first book on pulsed magnet design deals with the design of pulsed, non-destructive coils for the generation of high magnetic fields. It provides readers with a concise and comprehensive text describing every aspect of coil construction.

Aimed at senior undergraduate and first-year graduate students in departments of physics and astronomy, this textbook gives a systematic treatment of atomic and molecular structure and spectra, together with the effect of weak and strong external electromagnetic fields.
Topics chosen are those of interest in astronomy, and indeed many were inspired by specific astronomical contexts. Examples include the negative ion of hydrogen and the effects of strong magnetic fields such as those occurring on certain white dwarfs and neutron stars. Adiabatic and non-adiabatic handling of electron correlations and application to processes such as dielectronic recombination are included. Astronomical examples are provided throughout, as well as end-of-the-chapter problems and exercises. Over seventy illustrative diagrams complete this unique and comprehensive volume.

Giving emphasis on electroweak nuclear interactions the book collects more than 60 papers presented at the 5th International Symposium, Prague, September 1-6, 1991. Further topics covered are: nuclear physics with pions and antiprotons, nuclar physics with strange particles, relativistic nuclear physics, and quark degrees of freedom. They are viewed in their theoretical as well as experimental aspects.

Plasma Physics: Confinement, Transport and Collective Effects provides an overview of modern plasma research with special focus on confinement and related issues. Beginning with a broad introduction, the book leads graduate students and researchers - also those from related fields - to an understanding of the state-of-the-art in modern plasma physics. Furthermore, it presents a methodological cross section ranging from plasma applications and plasma diagnostics to numerical simulations, the latter providing an increasingly important link between theory and experiment. Effective references guide the reader from introductory texts through to contemporary research. Some related exercises in computational plasma physics are supplied on a special web site

Storageandcoolingtechniquesforchargedparticlesgainmoreandmoreimportance in various areas of modern science. They developed into a universal tool especially when used for precision measurements. For this purpose, there are mainly two types ofiontrapsinuse: radiofrequency quadrupole (Paul)trapswhichuseatime-varying quadrupolar electric ?eld applied to the electrodes for con?nement and Penning traps where a superposition of a homogeneous magnetic ?eld with a weak el- trostatic quadrupolar ?eld is used. Already the very ?rst experiments in ion traps, performed by their inventors Wolfgang Paul and Hans Dehmelt, paved the way for astonishingly precise measurements of fundamental quantities like the electron and positron g-factors and the ?ne-structure constant ?. Their work was honored with the Nobel Prize in physics for "the development of the ion trap technique" in 1989. Sincethenmanyexperimental physicistsworldwidehavebeenusinganddeveloping different kinds of ion traps. Today, ion traps are applied widely for instance in mass spectrometry, metrology, plasma physics, molecular and cluster physics, quantum computing, atomic and nuclear physics as well as in chemistry. Precise investigations are able to link measurable quantities to fundamental - pects of physics. Due to the achievable precision, ion traps have been used for this subjectandattractedaconferenceseries"TrappedChargedParticlesandFundam- tal Interactions." Along the main idea of that conference we organized a Heraeus Winter School that took place in Hirschegg, Austria, in spring 2006. Inspired by the success and the interest from the students we planned a book that should contain the key components of the school: interesting, introductory and up-to-date lectures connected with ion traps.

Fullerene Polymers and Fullerene Polymer Composites is an in-depth experimental and theoretical account of polymers and composites whose unusual properties, such as, photophysical phenomena, electrical transport, phase transitions and magnetic properties, stem from the incorporation of C60 in the material. Each chapter is written by an internationally renowned expert who has published extensively in this sub-field of fullerene materials. Introductory chapters on the fundamental properties of fullerenes (C60, C70) and photophysical phenomena in fullerenes and polymers are also included.

Neutrinos play an intriguing role in modern physics linking central questions of particle physics, cosmology and astrophysics. The contributions in this book reflect the present status of neutrino physics with emphasis on non-accelerator or beyond-accelerator experiments. Since a nonvanishing neutrino mass would yield an important boundary condition for GUT, SUSY or Superstring models and since neutrinos are the best candidates for dark matter in the universe, the many efforts to look for a neutrino mass, ranging from neutrino oscillation experiments using reactors, accelerators or the sun as neutrino sources, to tritium decay experiments and the search for neutrinoless double beta decay, are described in some detail. One of the sections is devoted to neutrinos from collapsing stars, including the supernova SN 1987 A. Possibilities for detecting cosmological neutrinos are discussed and an outlook to future experiments is given.

This book recounts results obtained via the Infrared Space Observatory (ISO) on comets, in the close environment of pre-main sequence stars, in the interstellar medium, and in the final stages of stellar life, using molecular hydrogen, ubiquitous crystalline silicates, water and ices. ISO has enabled investigation of the fuelling mechanism of galaxies, and new understanding of luminous infrared galaxies and their role in shaping present galaxies and in producing the cosmic infrared background.

Magnetohydrodynamics (MHD) studies the interaction between the flow of an electrically conducting fluid and magnetic fields. It involves such diverse topics as the evolution and dynamics of astrophysical objects, thermonuclear fusion, metallurgy and semiconductor crystal growth, etc. Although the first ideas in magnetohydrodynamics appeared at the beginning of the last century, the "explosion" in theoretical and experimental studies occurred in the 1950s-60s.

This state-of-the-art book aims at revising the evolution of ideas in various branches of magnetohydrodynamics (astrophysics, earth and solar dynamos, plasmas, MHD turbulence and liquid metals) and reviews current trends and challenges.

The importance of the ?eld of atomic physics to modern technology cannot be overemphasized. Atomic physics served as a major impetus to the development of the quantum theory of matter in the early part of the twentieth century and, due to the availability of the laser as a laboratory tool, it has taken us into the twen- ?rst century with an abundance of new and exciting phenomena to understand. Our intention in writing this book is to provide a foundation for students to begin researchinmodernatomicphysics. Asthetitleimplies, itisnot, norwasitintended to be, an all-inclusive tome covering every aspect of atomic physics. Any specialized textbook necessarily re?ects the predilection of the authors toward certain aspects of the subject. This one is no exception. It re?ects our - lief that a thorough understanding of the unique properties of the hydrogen atom is essential to an understanding of atomic physics. It also re?ects our fasci- tion with the distinguished position that Mother Nature has bestowed on the pure Coulomb and Newtonian potentials, and thus hydrogen atoms and Keplerian - bits. Therefore, we have devoted a large portion of this book to the hydrogen atom toemphasizethisdistinctiveness. Weattempttostresstheuniquenessoftheattr- tive 1/r potential without delving into group theory. It is our belief that, once an understanding of the hydrogen atom is achieved, the properties of multielectron atoms can be understood as departures from hydrogenic propertie

Soluble quantum field theory models are a rare commodity. An infinite number of degrees of freedom and noncompact invariance groups have a nasty habit of ex ploding in the model-makers' face. Nevertheless, impor tant progress has recently been made in the class of superrenormalizable relativistic theories, such as a self-interacting boson in a two-dimensional space time [ 1]. These results have been obtained starting with the free field and adding the interaction in a carefully controlled way. Yet, the models successfully studied in this way do DQ~ have an infinite field strength renormalization, which, at least according to perturbation theory, should appear for realistic relativistic models in four-dimensional space time. ~2~!Y~~!9n_~g_~h~_~gg~1 The ultralocal scalar field theories discussed in these lecture notes are likewise motivated by relativistic theories but are based on a different approximatiGn. This approximation formally amounts to dropping the spatial gradient term from the Hamiltonian rather than the non linear interaction. For a self-interacting boson field in a space-time of (s+l) dimensions (s~l), the classical ultralocal model Hamiltonian reads (1-1) The quantum theory of this model is the subject of the present paper. This model differs formally from a rela tivistic theory by the term f![Z~Cl(~)]2 d~ which, it is hoped, can, in one or another way, be added as a pertur 229 bation in the quantum theory. However, that still remains a problem for the future, and we confine our remarks to . . a careful study of the "unperturbed" model (1-1).

Electron EM reviews the theoretical and experimental work of the last 30 years on continuous electron emission in energetic ion-atom collisions. High incident energies for which the projectile is faster than the mean orbital velocity of the active electron are considered. Emphasis is placed on the interpretation of ionization mechanisms. They are interpreted in terms of Coulomb centers associated with the projectile and target nuclear fields which strongly interact with the outgoing electron. General properties of the two-center electron emission are analyzed. Particular attention is given to screening effects. A brief overview of multiple ionization processes is also presented. The survey concludes with a complete compilation of experimental studies of ionization cross sections.

Over the last forty years, plasma supported processes have attracted ever - creasing interest, and now, all modern semiconductor devices undergo at least one plasma-involved processing step, starting from surface cleaning via coating to etching. In total, the range of the treated substrates covers some orders of magnitude: Trenches and linewidths of commercially available devices have - ready passed the boundary of 100 nm, decorative surface treatment will happen 2 in the mm range, and the upper limit is reached with surface protecting layers of windows which are coated with ?/4 layers against IR radiation. The rapid development of the semiconductor industry is inconceivable wi- outthegiantprogressintheplasmatechnology.Moore'slawisnotcarvedinto 1 stone, and not only the ITRS map is subject to change every ?ve years but also new branches develop and others mingle together. Moreover, the quality of conventional materials can be improved by plasma treatment: Cottonbecomesmorecrease-resistant, leathermoredurable, andthe shrinking of wool ?bers during the washing process can be signi?cantly reduced. To cut a long story short: More than 150 years after the discovery of the sputtering e?ect by Grove, plasma-based processes are about to spread out into new ?elds of research and application 1]-no wonder that the market for etching machines kept growing by an annual rate of 17 % up to the burst of the internet bubble, and it took only some years of recovery to continue the voyage 2].

This book is the first detailed and comprehensive guide to the theory of optical band shape of guest-molecule-doped crystals, polymers and glasses. Its main focus is on the dynamics of a single molecule, measured with the help of a train of photons emitted at random time moments.

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."

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.

This book presents the latest advances in ultrafast science, including both ultrafast optics technology and the study of ultrafast phenomena. It covers picosecond, femtosecond, and attosecond processes relevant to physics, chemistry, biology, and engineering applications. Ultrafast technology has a profound impact in a wide range of applications, among them biomedical imaging, chemical dynamics, frequency standards, materials processing, and ultrahigh-speed communications. This book summarizes the results presented at the 13th International Conference on Ultrafast Phenomena and provides an up-to-date view of this important and rapidly advancing field.

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.

The "Rudolf Moessbauer Story" recounts the history of the discovery of the "Moessbauer Effect" in 1958 by Rudolf Moessbauer as a graduate student of Heinz Maier-Leibnitz for which he received the Nobel Prize in 1961 when he was 32 years old. The development of numerous applications of the Moessbauer Effect in many fields of sciences , such as physics, chemistry, biology and medicine is reviewed by experts who contributed to this wide spread research. In 1978 Moessbauer focused his research interest on a new field "Neutrino Oscillations" and later on the study of the properties of the neutrinos emitted by the sun.

This book is the work of three specialists from the field of Economics (B.F), Business (S.S.) and the Natural Sciences (W.S.). While each chapter concentrates more or less on one or other of these areas, with varying degrees of complexity, it is hoped that the readers whatever their background will fmd something of value in each section, in particular those outside their own disciplines. The authors believe that such cross fertilization of ideas will become increasingly needed in the coming development of a sustainable growth society and it is therefore their hope that this book, as a first example of its kind, will thereby contribute in an interdisciplinary way to the general understanding of the issues of sustainable growth. The authors divided their main contributions to the book as follows: Bruno Fritsch Chapters 1,2,3,4,5 and 8 Stephan Schmidheiny Chapter 7 Walter Seifritz Chapters 2, 3, 4 and 6 They would like to thank in particular Lloyd Timberlake for his editorial advice and his assistance on chapter 7. Special thanks are due to Irena Kusar for preparing the original figures and diagrams and to the Paul Scherrer Institute for permission to use the illustration, printing and copying facilities during preparation of the manuscript. They would also like to thank Richard Stratton for assembling, typing and correcting the text, editing and final layout and for his helpful advice and contributions to organising the presentation of the material.

Density functional theory (DFT) is by now a well-established method for tackling the quantum mechanics of many-body systems. Originally applied to compute properties of atoms and simple molecules, DFT has quickly become a work horse for more complex applications in the chemical and materials sciences. The present set of lectures, spanning the whole range from basic principles to relativistic and time-dependent extensions of the theory, is the ideal introduction for graduate students or nonspecialist researchers wishing to familiarize themselves with both the basic and most advanced techniques in this field.