This book presents two reviews from the cutting-edge of Russian plasma physics research. The first review is devoted to the mechanisms of transverse conductivity and generation of self-consistent electric fields in strongly ionized magnetized plasma. The second review considers numerous aspects of turbulent transport in plasma and fluids. This second review is focused on scaling arguments for describing anomalous diffusion in the presence of complex structures.

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

Scanning Probe Microscopy is a comprehensive source of information for researchers, teachers, and graduate students about the rapidly expanding field of scanning probe theory. Writing in a tutorial style, the authors explain from scratch the theory behind today s simulation techniques and give examples of theoretical concepts through state-of-the-art simulations, including the means to compare these results with experimental data. The book provides the first comprehensive framework for electron transport theory with its various degrees of approximations, thus allowing extensive insight into the physics of scanning probes. Experimentalists will appreciate how the materials properties influence the instrument's operation, and theorists will understand how simulations can be directly compared to experimental data.

Key Features

• Serves as a comprehensive source of information for researchers, teachers, and students about the theory underlying the rapidly expanding field of scanning probe microscopy
• Provides a framework for linking scanning probe theory and simulations with experimental data
• Written in the style of a textbook with step-by-step examples of how theoretical concepts are used to generate state-of-the-art simulations

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.

These lectures concern the properties of topological charge in gauge theories and the physical effects which have been attributed to its existence. No introduction to this subject would be adequate without a discussion of the original work of Belavin, Polyakov, Schwarz, and Tyupkin [1], of the beautiful calculation by 't Hooft [2,3], and of the occurrence of 8-vacua [4-6]. Other important topics include recent progress on solutions of the Yang-Mills equation of motion [7,8], and the problem of parity and time-reversal invariance in strong interactions [9] (axions [10,11], etc. ). In a few places, I have strayed from the conventional line and in one important case, disagreed with it. The im- portant remark concerns the connection between chirality and topological charge first pointed out by 't Hooft [2]: in the literature, the rule is repeatedly quoted with the wrong sign! If QS is the generator for Abelian chiral transformations of massless quarks with N flavours, the correct form of the rule is ssQs = - 2N {topological charge} (1. 1) where ssQS means the out eigenvalue of QS minus the in eigenvalue. The sign can be checked by consulting the standard WKB calculation [2,3], rotating to Minkowski space, and observing that the sum of right-handed chiralities of operators in a Green's function equals -ssQS. The wrong sign is an automatie consequence of a standard but incorrect derivation in which the axial charge is misidentified.

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.

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.

Polarization Spectroscopy of Ionized Gases describes the physical principles of the technique and its applications to remote sensing. Transport phenomena and local anisotropies can be studied. The theoretical part of the book considers the basic phenomena of the ordering of the velocities of fast exciting charged particles. The polarization of the outer electron shells of excited atoms or molecules is described, and a variety of effects are examined in detail. An integral equation is derived which gives the intensity and polarization of emitted lines. Methods for solving the equation are analyzed. Universal spectropolarimetric remote sensing has been applied to low pressure gas discharges in the laboratory and to non-thermal processes in the solar atmosphere. For researchers interested in the remote sensing of ionized gases.

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.

There is a unity to physics; it is a discipline which provides the most fundamental understanding of the dynamics of matter and energy. To understand anything about a physical system you have to interact with it and one of the best ways to learn something is to use electrons as probes. This book is the result of a meeting, which took place in Magdalene College Cambridge in December 2001. Atomic, nuclear, cluster, soHd state, chemical and even bio- physicists got together to consider scattering electrons to explore matter in all its forms. Theory and experiment were represented in about equal measure. It was meeting marked by the most lively of discussions and the free exchange of ideas. We all learnt a lot. The Editors are grateful to EPSRC through its Collaborative Computational Project program (CCP2), lOPP, the Division of Atomic, Molecular, Optical and Plasma Physics (DAMOPP) and the Atomic Molecular Interactions group (AMIG) of the Institute of Physics for financial support. The smooth running of the meeting was enormously facilitated by the efficiency and helpfulness of the staff of Magdalene College, for which we are extremely grateful. This meeting marked the end for one of us (CTW) of a ten-year period as a fellow of the College and he would like to take this opportunity to thank the fellows and staff for the privilege of working with them.

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.

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.

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).

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.

It is the first application to nuclear physics from energy-density functional method, for which Professor Walter Kohn received the Nobel Prize in Chemistry. The book presents a comprehensive extension of the Bohr-Wheeler theory with the present knowledge of nuclear density distribution function.

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.

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.

Questions of the fundamental nature of matter continue to inspire and engage our imagination. However, the exciting new concepts of strings, supersymmetry and exotic matter build on ideas that are well known to physicists but mysterious and puzzling to people outside of these research fields. Covering key conceptual developments from the last century, this book provides a background to the bold ideas and challenges faced by physicists today. Quantum theory and the Standard Model of particles are explained with minimal mathematics, and advanced topics, such as gauge theory and quantum field theory, are put into context. With concise, lucid explanations, this book is an essential guide to the world of particle physics.

this part is supported by two useful appendices on some of the mathematical tools used and the physical units of plasma physics. State-space models, state observers, H control, and process simulations are some of the familiar techniques used by ? the authors to meet the demanding spatial control specifications for these processes; however, the research reported in the monograph is more that just simulation studies and proposals for possible future hypothetical controllers, for the authors have worked with some of the world's leading existing tokamak facilities. Chapter 5, 8, and 9 respectively, give practical results of implementations of their control schemes on the FTU Tokamak (Italy), the TCV Tokamak (Switzerland), and the JET Tokamak (United Kingdom). Additionally, the authors present simulation results of their ideas for the control of the new tokamak proposed for the ITER project. In conclusion, being very aware that most control engineers will not be conversant with the complexities of tokamak nuclear fusion reactor control, the authors have taken special care to give a useful introduction to the background of nuclear fusion, the science of plasma physics and appropriate models in the first part of the monograph (Chapters 1 to 3). This introduction is followed by six chapters (4 to 9) of control studies. In Chapter 4, the generic control problem is established and then five case study chapters follow.