Stephen Hawking, the Lucasian Professor of Mathematics at Cambridge University, has made important theoretical contributions to gravitational theory and has played a major role in the development of cosmology and black hole physics.

Hawking's early work, partly in collaboration with Roger Penrose, showed the significance of spacetime singularities for the big bang and black holes. His later work has been concerned with a deeper understanding of these two issues. The work required extensive use of the two great intellectual achievements of the first half of the Twentieth Century: general relativity and quantum mechanics; and these are reflected in the reprinted articles. Hawking's key contributions on black hole radiation and the no-boundary condition on the origin of the universe are included.

The present compilation of Stephen Hawking's most important work also includes an introduction by him, which guides the reader though the major highlights of the volume. This volume is thus an essential item in any library and will be an important reference source for those interested in theoretical physics and applied mathematics.

It is an excellent thing to have so many of Professor Hawking's most important contributions to the theory of black holes and space-time singularities all collected together in one handy volume. I am very glad to have them". Roger Penrose (Oxford)

"This was an excellent idea to put the best papers by Stephen Hawking together. Even his papers written many years ago remain extremely useful for those who study classical and quantum gravity. By watching the evolution of his ideas one can get a very clear picture of the development of quantum cosmology during thelast quarter of this century". Andrei Linde (Stanford)

"This review could have been quite short: 'The book contains a selection of 21 of Stephen Hawking's most significant papers with an overview written by the author'. This would be sufficient to convince any researcher, student or librarian to acquire the book, so indisputable is the contribution of this man to the theoretical physics of the last half of our century ... Collected together, these brilliant works constitute a valuable contribution to the literature on modern classical and quantum gravity and cosmology. This book will certainly be a source of inspiration for new generations of physicists entering into this fascinating area of research". D Gal'tsov Classical & Quantum Gravity

This important book presents on approach to understanding the atomic nucleus that exploits simple algebraic techniques. The book focuses primarily on a panicular algebraic model, the Interacting Boson Model (IBM); ft outlines the algebraic structure, or group theoretical basis, of the IBM and other algebraic models using simple examples. Both the compa6son of the IBM with empirical data and its microscopic basis are explored, as are extensions to odd mass nuclei and to phenomena not originally encompassed within its purview. An important final chapter treats fermion algebraic approaches to nuclear structure which can be both more microscopic and more general, and which represent Promising avenues for future research. Each of the contributors to this work is a leading expert in the field of algebraic models; together they have formulated an introduction to the subject which will be an important resource for the series graduate student and the professional physicist alike.

Widely used in high-energy and particle physics, gaseous radiation detectors are undergoing continuous development. The first part of this book provides a solid background for understanding the basic processes leading to the detection and tracking of charged particles, photons, and neutrons. Continuing then with the development of the multi-wire proportional chamber, the book describes the design and operation of successive generations of gas-based radiation detectors, as well as their use in experimental physics and other fields. Examples are provided of applications for complex events tracking, particle identification, and neutral radiation imaging. Limitations of the devices are discussed in detail. Including an extensive collection of data and references, this book is ideal for researchers and experimentalists in nuclear and particle physics.

Elemental Analysis by Particle Accelerators describes the theory, methodology, and applications for a wide variety of sensitive, non-destructive methods of analysis capable of both high selectivity and multielemental determinations. Specific methods discussed include radioactive methods, particle backscatter analysis, recoil techniques, and nuclear reaction analysis. The use of multielemental PIXE and PIGME analyses of "real world" thick samples in environmental studies, trace element applications in biology, and provenance studies in archaeology are also covered. The book is a useful reference for practicing specialists and an essential text for students.

This book provides insight into concept of the weak interaction and its integration into the conceptual structure of elementary particle physics. It exhibits the important role of the weak interaction in nuclear, particle and astrophysics together with the close connection between these areas.

The publication of the first edition of “Introduction to Supersymmetry and Supergravity” was a remarkable success. This second edition contains a substantial amount of new material especially on two-dimensional supersymmetry algebras, their irreducible representations as well as rigid and local (i.e. supergravity) theories of 2-dimensional supersymmetry both in x-space and superspace. These theories include the actions for the superstring and the heterotic string. In addition, a chapter is devoted to a discussion on superconformal algebras in two dimensions and contains an account of super operator product expansion.

Introduces Novel Applications for Solving Neutron Transport Equations While deemed nonessential in the past, fractional calculus is now gaining momentum in the science and engineering community. Various disciplines have discovered that realistic models of physical phenomenon can be achieved with fractional calculus and are using them in numerous ways. Since fractional calculus represents a reactor more closely than classical integer order calculus, Fractional Calculus with Applications for Nuclear Reactor Dynamics focuses on the application of fractional calculus to describe the physical behavior of nuclear reactors. It applies fractional calculus to incorporate the mathematical methods used to analyze the diffusion theory model of neutron transport and explains the role of neutron transport in reactor theory. The author discusses fractional calculus and the numerical solution for fractional neutron point kinetic equation (FNPKE), introduces the technique for efficient and accurate numerical computation for FNPKE with different values of reactivity, and analyzes the fractional neutron point kinetic (FNPK) model for the dynamic behavior of neutron motion. The book begins with an overview of nuclear reactors, explains how nuclear energy is extracted from reactors, and explores the behavior of neutron density using reactivity functions. It also demonstrates the applicability of the Haar wavelet method and introduces the neutron diffusion concept to aid readers in understanding the complex behavior of average neutron motion. This text: Applies the effective analytical and numerical methods to obtain the solution for the NDE Determines the numerical solution for one-group delayed neutron FNPKE by the explicit finite difference method Provides the numerical solution for classical as well as fractional neutron point kinetic equations Proposes the Haar wavelet operational method (HWOM) to obtain the numerical approximate solution of the neutron point kinetic equation, and more Fractional Calculus with Applications for Nuclear Reactor Dynamics thoroughly and systematically presents the concepts of fractional calculus and emphasizes the relevance of its application to the nuclear reactor.

This volume considers experimental and theoretical dielectric studies of the structure and dynamics of complex systems. Complex systems constitute an almost universal class of materials including associated liquids, polymers, biomolecules, colloids, porous materials, doped ferroelectric crystals, nanomaterials, etc. These systems are characterized by a new "mesoscopic" length scale, intermediate between molecular and macroscopic. The mesoscopic structures of complex systems typically arise from fluctuations or competing interactions and exhibit a rich variety of static and dynamic behaviour. This growing field is interdisciplinary; it complements solid state and statistical physics, and overlaps considerably with chemistry, chemical engineering, materials science, and biology. A common theme in complex systems is that while such materials are disordered on the molecular scale and homogeneous on the macroscopic scale, they usually possess a certain degree of order on an intermediate, or mesoscopic, scale due to the delicate balance of interaction and thermal effects. In the present Volume it is shown how the dielectric spectroscopy studies of complex systems can be applied to determine both their structures and dynamics.

This book deals with diffraction radiation, which implies the boundary problems of electromagnetic radiation theory. Diffraction radiation is generated when a charged particle moves near a target edge at a distance ( - Lorentz factor, - wave length). Diffraction radiation of non-relativistic particles is widely used to design intense emitters in the cm wavelength range. Diffraction radiation from relativistic charged particles is important for noninvasive beam diagnostics and design of free electron lasers based on Smith-Purcell radiation which is diffraction radiation from periodic structures. Different analytical models of diffraction radiation and results of recent experimental studies are presented in this book. The book may also serve as guide to classical electrodynamics applications in beam physics and electrodynamics. It can be of great use for young researchers to develop skills and for experienced scientists to obtain new results.

The dielectric properties especially of glassy materials are nowadays explored at widely varying temperatures and pressures without any gap in the spectral range from Hz up to the Infrared, thus covering typically 20 decades or more. This extraordinary span enables to trace the scaling and the mutual interactions of relaxation processes in detail, e.g. the dynamic glass transition and secondary relaxations, but as well far infrared vibrations, like the Boson peak. Additionally the evolution of intra-molecular interactions in the course of the dynamic glass transition is also well explored by (Fourier Transform) Infrared Spectroscopy. This volume within 'Advances in Dielectrics' summarizes this knowledge and discusses it with respect to the existing and often competing theoretical concepts.

Resonances are a common feature of many systems in nature. They reveal much about the structure of such systems. This book provides a comprehensive and up-to-date account of a similar phenomenon in atomic nuclei, the giant resonances. It describes experimental facts, how these are obtained, and how they fit into existing theoretical models. It also includes a short history and an overview of the main achievements in this field.

Analog Electronics for Radiation Detection showcases the latest advances in readout electronics for particle, or radiation, detectors. Featuring chapters written by international experts in their respective fields, this authoritative text: Defines the main design parameters of front-end circuitry developed in microelectronics technologies Explains the basis for the use of complementary metal-oxide semiconductor (CMOS) image sensors for the detection of charged particles and other non-consumer applications Delivers an in-depth review of analog-to-digital converters (ADCs), evaluating the pros and cons of ADCs integrated at the pixel, column, and per-chip levels Describes incremental sigma-delta ADCs, time-to-digital converter (TDC) architectures, and digital pulse-processing techniques complementary to analog processing Examines the fundamental parameters and front-end types associated with silicon photomultipliers used for single visible-light photon detection Discusses pixel sensors with per-pixel TDCs, channel density challenges, and emerging 3D technologies interconnecting detectors and electronics Thus, Analog Electronics for Radiation Detection provides a single source for state-of-the-art information on analog electronics for the readout of radiation detectors.

I. Formal Methods.- Artificial Neural Networks that Learn Many-Body Physics.- Quantum Statistical Microdynamics and Critical Phenomena.- Quantum Spin Lattice Models: a Coupled-Cluster Treatment.- Time Dependent Mean Field Approximation in a Boson System.- Inhomogeneous Boson System Made Planar.- II. Quantum Fluids.- The Shape of Fluids.- Single Particle Properties of Atomic Deuterium.- Studies of the Critical Point of 4He.- The Spectral Function of Bose Superfluids: a Sum Rule Approach.- III. Electronic Systems, Atoms and Molecules.- Collective Spin Waves in Maxwellian Electron Plasma.- Test of Density Functional Approximation for an Atom in a Strong Magnetic Field.- Ionic Diffusion Phenomena in Superionic Conductors.- Electric Field Induced Solidification-Theory of Electro-Rheology Fluids.- Toward a Non-Born-Oppenheimer Density Functional Theory in the Context of Local-Scaling Transformations.- Bragg Intensities and Diffuse Scattering in Ag2Se: a Molecular Dynamics Study.- IV. High-Tc Superconductivity.- Dynamics of the Anderson Model for Dilute Magnetic Alloys: a Quantum Monte Carlo and Maximum Entropy Study.- High Temperature Superconductivity in an Exactly Solvable Model.- Cooper Pair Binding Energy and the BCS Gap Energy Revisited.- Coopers Pairs, Local Pairs, and TF-Scaled High-Tc Superconductivity.- Electron-Hole Liquid Model for High Tc-Superconductivity.- MEP Approach to the Anderson-Hubbard Model.- V. Lattice Theories.- Correlated Lattice Fermions in High Dimensions.- Cluster Gutzwiller Approximation.- The U(1)3 Lattice Gauge Vacuum.- Electronic Diamagnetism in Two-Dimensional Lattices.- Nuclear Physics and QCD.- Meson-Meson Scattering as a Many-Body Problem.- Alpha-Nucleus Interaction from an Inverse Scattering and Energy-Density Formalism.- Spin and Tensor Correlations in Model Nuclear Matter.- On Narrow ? Hypernuclear States with Positive Energy.- Electromagnetic Response in Nuclear Matter and Complex Nuclei.- Use of Correlated Hyperspherical Harmonic Basis for Strongly Interacting Systems.- Variational Cluster Methods in Coordinate Space for Small Systems: Center of Mass Corrections Made Easy.- Short-Range Correlations and Single-Particle Spectral Functions in Nuclear Matter.- Functional Techniques in the Many-Body Problem: the Longitudinal Nuclear Response function.- Contributors and Participants.

Taylor-Couette Flow, Experiment and Theory: Evolution of Instrumentation for Taylor-Couette Flow; R.J. Donnelly. Phase Dynamics in the Taylor-Couette System; M. Wu, C.D. Andereck. Taylor-Couette Flow Systems with Broken Rotational Symmetry: End Circulation in Non-Axisymmetrical Flows; C. Normand et, al. Turbulence in Taylor-Couette and Plane Couette Flow: Numerical Simulation of Turbulent Taylor-Couette Flow; S. Hirschberg. Instabilities, Pattern Formation, and Turbulence in Model Equations: Double Eigenvalues and the Formation of Flow Patterns; R. Meyer-Spache. Extensions of Taylor-Couette Flow: Taylor Vortex Flow with Superimposed Radial Mass Flux; K. Buehler. Open Flows: Structure and Perturbation in Gortler Vortex Flow; P. Petitjeans, J.E. Wesfreid. Appendix: A Guide to Literature Related to the Taylor-Couette Problem; R. Tagg. 24 additional articles. Index.

During the last several decades, the study of nuclear shapes has been of prime importance. A large number of investigations, both theoretical and experimental, have led to the discovery of a rich variety of nuclear shapes like, the basic spherical, deformed, superdeformed, triaxial, shape coexistence, reflection asymmetric (pear-shape) and other exotic ones. Apart from common nuclear structural properties, each of the mentioned shapes manifests properties associated with its specific form. It is interesting to note that most deformed nuclei are prolate deformed. In this monograph, attention is paid to pear-shaped nuclei.

Physics of Nuclear Radiations: Concepts, Techniques and Applications makes the physics of nuclear radiations accessible to students with a basic background in physics and mathematics. The main text avoids calculus, with detailed derivations deferred to endnotes and appendices. The text explains meanings and the significance of equations in detail to be understandable to audiences from various disciplines. Rather than convince students one way or the other about the hazards of nuclear radiations, the text empowers them with tools to calculate and assess nuclear radiations and their impact. It discusses the meaning behind mathematical formulae as well as the areas in which the equations can be applied. After reviewing the physics preliminaries, the author addresses the growth and decay of nuclear radiations, the stability of nuclei or particles against radioactive transformations, and the behavior of heavy charged particles, electrons, photons, and neutrons. He then presents the nomenclature and physics reasoning of dosimetry, covers typical nuclear facilities (such as medical x-ray machines and particle accelerators), and describes the physics principles of diverse detectors. The book also discusses methods for measuring energy and time spectroscopies before concluding with applications in agriculture, medicine, industry, and art.

An accessible and carefully structured introduction to Particle Physics, including important coverage of the Higgs Boson and recent progress in neutrino physics. * Fourth edition of this successful title in the Manchester Physics series * Includes information on recent key discoveries including: An account of the discovery of exotic hadrons, beyond the simple quark model; Expanded treatments of neutrino physics and CP violation in B-decays; An updated account of physics beyond the standard model , including the interaction of particle physics with cosmology * Additional problems in all chapters, with solutions to selected problems available on the book s website * Advanced material appears in optional starred sections

Kondo Semiconductors: Kondo Semiconductor CeNiSn (T. Takabatake et al.). Non Fermi-Liquid Ground State in the Heavy Fermion Compounds (F.G. Aliev). 4f and 5f Compounds: Specific Heat of Some Uranium Based Ternary Compounds (T. Fujita et al.). Magnetic Ordering of 122 U and Ce Intermetallic Compounds Described Via an fd Hybridization Model (J.A. Mydosh et al.). Supercoductivity of f electron Systems: Transport and Thermal Properties of Some Selected Heavy Fermion Materials (A. de Visser). Thermal Properties of Heavy Fermion Superconductors (J.P. Brison et al.). Theory: The Ground State of the One Dimensional Kondo Lattice Model (M. Sigrist et al.). Anisotropic Transport Properties of Cerium Kondo Compounds (A.K. Bhattacharjee et al.). Short Presentations: Specific Heat in a Low Carrier Concentration Compound (N. Sato et al.). 23 additional articles. Index.

Providing a complete foundation to comprehend the physics of the microworld, Advanced Particle Physics, Two-Volume Set develops the models, theoretical framework, and mathematical tools to understand current experiments and make predictions for future experiments. The set brings together a vast array of topics in modern particle physics and distills the material in a rigorous yet accessible manner. All intermediate mathematical steps are derived and numerous application examples help readers gain a thorough, working knowledge of the subject. The first volume on particles, fields, and quantum electrodynamics covers: * The mathematical foundation of quantum field theory * The interactions and particles of the Standard Model * How accelerators, detectors, and neutrino telescopes are used in particle physics experiments * The technique of renormalization in quantum electrodynamics The second volume on the Standard Model and beyond discusses: * The technique of renormalization in quantum chromodynamics (QCD) * The status of current QCD experiments * Physics beyond the Standard Model, including composite models and a left-right model * How solar and atmospheric neutrinos are detected and analyzed The books in this two-volume set enable readers not only to perform complicated and skilled calculations, but also to propose and elaborate new theories. Each book contains extensive references that offer a comprehensive perspective on the literature and historical development of particle physics.

Helping readers understand the complicated laws of nature, Advanced Particle Physics Volume I: Particles, Fields, and Quantum Electrodynamics explains the calculations, experimental procedures, and measuring methods of particle physics. It also describes modern physics devices, including accelerators, elementary particle detectors, and neutrino telescopes. The book first introduces the mathematical basis of modern quantum field theory. It presents the most pertinent information on group theory, proves Noether's theorem, and determines the major motion integrals connected with both space and internal symmetry. The second part on fundamental interactions and their unifications discusses the main theoretical preconditions and experiments that allow for matter structure to be established at the quark-lepton level. In the third part, the author investigates the secondary quantized theories of free fields with spin 0, 1/2, and 1, with particular emphasis on the neutrino field. The final part focuses on quantum electrodynamics, the first successfully operating quantum field theory. Along with different renormalization schemes of quantum field theory, the author covers the calculation methods for polarized and unpolarized particles, with and without inclusion of radiative corrections. Each part in this volume contains problems to help readers master the calculation techniques and generalize the results obtained. To improve understanding of the computation procedures in quantum field theory, the majority of the calculations have been performed without dropping complex intermediate steps.

Helping readers understand the complicated laws of nature, Advanced Particle Physics Volume II: The Standard Model and Beyond explains the calculations, experimental procedures, and measuring methods of particle physics, particularly quantum chromodynamics (QCD). It also discusses extensions to the Standard Model and the physics of massive neutrinos. Divided into three parts, this volume begins with QCD. It explains the quantization scheme using functional integrals and investigates renormalization problems. The book also calculates cross sections of basic hard processes and covers nonperturbative methods, such as the lattice approach and QCD vacuum. The next part focuses on electroweak interactions, in which the author describes the Glashow-Weinberg-Salam theory and presents composite models and a left-right symmetric model as extensions to the Standard Model. The book concludes with chapters on massive neutrino physics that cover neutrino properties, neutrino oscillation in vacuum and matter, and solar and atmospheric neutrinos.

Experiments in Nuclear Science is an introductory-level laboratory manual providing hands-on opportunities for developing insights into the origins and properties of nuclear radiations, their interactions with matter, their detection and measurement, and their applications in the physical and life sciences. Based on experiments successfully performed by hundreds of students at Rutgers University and the University of Wisconsin, this manual can be used as a stand-alone volume or alongside a textbook such as Introduction to Nuclear Science by Jeff C. Bryan.

Relevant to a range of courses

Each of the 32 exercises includes an overview of the scientific phenomenon, instructions for conducting the experiments and recording the data, directions for analyzing the data and reporting the results, specific questions relating to the experiments, and several problems relating to the scientific phenomena being investigated. Validated for safety and pedagogy in the undergraduate instructional laboratory, the exercises can be used in an undergraduate course in nuclear science. Individual exercises can also be adopted to demonstrate fundamental principles in a general science course as well as introductory biology and chemistry courses. Making use of off-the-shelf instrumentation, these exercises can be performed in a conventional laboratory under the supervision of an experienced instructor.

Applicable to numerous career fields

Demonstrating fundamental principles, the concepts explored through these experiments are relevant to a host of career opportunities, including those in the health sciences, the nuclear power industry, regulatory agencies, and waste management services.

Supersymmetric models of particle physics predict new superpartner matter states for each particle in the Standard Model. These superpartners will have wide ranging implications, from cosmology to observations at high energy accelerators, such as CERN's LHC. In this 2006 text, the authors develop the basic concepts of supersymmetry and show how it can be incorporated into a theoretical framework for describing unified theories of elementary particles. They develop the technical tools of supersymmetry using four-component spinor notation familiar to high energy experimentalists and phenomenologists. The text takes the reader from an abstract formalism to a straightforward recipe for writing supersymmetric gauge theories of particle physics, and ultimately to the calculations necessary for practical applications at colliders and in cosmology. This is a comprehensive, practical and accessible introduction to supersymmetry for experimental and phenomenological particle physicists and graduate students. It has been reissued as an Open Access publication on Cambridge Core.

The scattering of high-energy electrons from nuclear and nucleon targets provides a microscope for examining the structure of these tiny objects. The best evidence we have on what nuclei and nucleons actually look like comes from electron scattering. This 2001 book examines the motivation for electron scattering and develops the theoretical analysis of the process. It discusses our theoretical understanding of the underlying structure of nuclei and nucleons at appropriate levels of resolution and sophistication, and summarizes experimental electron scattering capabilities. Only a working knowledge of quantum mechanics and special relativity is assumed, making this a suitable textbook for graduate and advanced undergraduate courses. It will also provide a valuable summary and reference for researchers already working in electron scattering and other areas of nuclear and particle physics. This text has been reissued as an Open Access publication on Cambridge Core.