This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem. Starting from our current understanding of the underlying forces, it presents recent advances within the field of lattice quantum chromodynamics before going on to discuss effective field theories, central many-body methods like Monte Carlo methods, coupled cluster theories, the similarity renormalization group approach, Green’s function methods and large-scale diagonalization approaches. Algorithmic and computational advances show particular promise for breakthroughs in predictive power, including proper error estimates, a better understanding of the underlying effective degrees of freedom and of the respective forces at play. Enabled by recent improvements in theoretical, experimental and numerical techniques, the state-of-the art applications considered in this volume span the entire range, from our smallest components – quarks and gluons as the mediators of the strong force – to the computation of the equation of state for neutron star matter. The lectures presented provide an in-depth exposition of the underlying theoretical and algorithmic approaches as well details of the numerical implementation of the methods discussed. Several also include links to numerical software and benchmark calculations, which readers can use to develop their own programs for tackling challenging nuclear many-body problems.

The ?eld of nuclear physics is entering the 21st century in an interesting and exciting way. On the one hand, it is changing qualitatively since new experim- tal developments allow us to direct radioactive and other exotic probes to target nuclei as well as to sparko? extremely energetic nuclear collisions. In parallel, detector systems are of an impressive sophistication. It is di?cult to envisage all the discoveries that will be made in the near future. On the other hand, the app- cations of nuclear science and technology are broadening the limits in medicine, industry, art, archaeology, and the environmental sciences, etc. This implies that the public perception of our ?eld is changing, smoothly but drastically, in c- trast to former times where nuclear weapons and nuclear power plants were the dominant applications perceived by citizens. Both aspects, scienti?c dynamism and popular recognition, should lead the ?eld to an unexpected revival. One of the consequences of the former could be that many brilliant students consider nuclear physics as an excellent ?eld in which to acquire professional expertise. Therefore, one of the challenges of the international nuclear physics community is to try to make the ?eld attractive. That means simply being pedagogic and enthusiastic. Thus, as organisers of an already established summer school, our contribution was to put an emphasis in this session on pedagogy and enthusiasm.

This textbook is a unique and ambitious primer of nuclear physics, which introduces recent theoretical and experimental progresses starting from basics in fundamental quantum mechanics. The highlight is to offer an overview of nuclear structure phenomena relevant to recent key findings such as unstable halo nuclei, superheavy elements, neutron stars, nucleosynthesis, the standard model, lattice quantum chromodynamics (LQCD), and chiral effective theory. An additional attraction is that general properties of nuclei are comprehensively explained from both the theoretical and experimental viewpoints. The book begins with the conceptual and mathematical basics of quantum mechanics, and goes into the main point of nuclear physics – nuclear structure, radioactive ion beam physics, and nuclear reactions. The last chapters devote interdisciplinary topics in association with astrophysics and particle physics. A number of illustrations and exercises with complete solutions are given. Each chapter is comprehensively written starting from fundamentals to gradually reach modern aspects of nuclear physics with the objective to provide an effective description of the cutting edge in the field.

Density Functional Theory (DFT) has firmly established itself as the workhorse for atomic-level simulations of condensed phases, pure or composite materials and quantum chemical systems. This work offers a rigorous and detailed introduction to the foundations of this theory, up to and including such advanced topics as orbital-dependent functionals as well as both time-dependent and relativistic DFT. Given the many ramifications of contemporary DFT, the text concentrates on the self-contained presentation of the basics of the most widely used DFT variants: this implies a thorough discussion of the corresponding existence theorems and effective single particle equations, as well as of key approximations utilized in implementations. The formal results are complemented by selected quantitative results, which primarily aim at illustrating the strengths and weaknesses of particular approaches or functionals. The structure and content of this book allow a tutorial and modular self-study approach: the reader will find that all concepts of many-body theory which are indispensable for the discussion of DFT - such as the single-particle Green's function or response functions - are introduced step by step, along with the actual DFT material. The same applies to basic notions of solid state theory, such as the Fermi surface of inhomogeneous, interacting systems. In fact, even the language of second quantization is introduced systematically in an Appendix for readers without formal training in many-body theory.

Authored by two of the most respected experts in the field of nuclear matter, this book provides an up-to-date account of developments in nuclear matter theory and a critical comparison of the existing theoretical approaches in the field. It provides information needed for researchers working with applications in a variety of research fields, ranging from nuclear physics to astrophysics and gravitational physics, and the computational techniques discussed in the book are relevant for the broader condensed matter and quantum fluids community. The first book to provide an up-to-date and comprehensive overview of nuclear matter theory Authored by two world-leading academics in this field Includes a description of the most advanced computational techniques and a discussion of state-of-the art applications, such as the study of gravitational-wave emission from neutron stars

Computation is essential to our modern understanding of nuclear systems. Although simple analytical models might guide our intuition, the complex ity of the nuclear many-body problem and the ever-increasing precision of experimental results require large-scale numerical studies for a quantitative understanding. Despite their importance, many nuclear physics computations remain something of a black art. A practicing nuclear physicist might be familiar with one or another type of computation, but there is no way to systemati cally acquire broad experience. Although computational methods and results are often presented in the literature, it is often difficult to obtain the working codes. More often than not, particular numerical expertise resides in one or a few individuals, who must be contacted informally to generate results; this option becomes unavailable when these individuals leave the field. And while the teaching of modern nuclear physics can benefit enormously from realistic computer simulations, there has been no source for much of the important material. The present volume, the second of two, is an experiment aimed at address ing some of these problems. We have asked recognized experts in various aspects of computational nuclear physics to codify their expertise in indi vidual chapters. Each chapter takes the form of a brief description of the relevant physics (with appropriate references to the literature), followed by a discussion of the numerical methods used and their embodiment in a FOR TRAN code. The chapters also contain sample input and test runs, as well as suggestions for further exploration.

The growth of technology for chemical assessment has led to great developments in the investigation of chemical reactivity in recent years, but key information is often dispersed across many different research fields. Combining both original principles and the cutting-edge theories used in chemical reactivity analysis, Chemical Reactivity, Volume 1 present the latest developments in theoretical chemistry and its application for the assessment of chemical processes.Beginning with an exploration of different theories and principles relating to electronic structure and reactivity of confined electronic systems, the book goes on to highlight key information on such topics as Dyson orbitals, target-ion overlaps, reaction fragility, magnetizability principles and the Fuki function. Density Functional Theory is discussed in relation to numerous different principles and approaches, with further information on constrained methods and diabatic models, bonding evolution theory, orbital-based population analysis models and charge transfer models, and Quantum chemistry and QTAIM.Consolidating the knowledge of a global team of experts in the field, Chemical Reactivity, Volume 1: Theories and Principles is a useful resource for both students and researchers interested in gaining greater understanding of the principles and theories underpinning chemical reactivity analysis. - Provides readers with the key information needed to gain a good overview of contemporary chemical reactivity studies and a clear understanding of the theory behind state-of-the-art methods in the field - Highlights advances in the computational descriptions of reactivity, including reactivity in confined environments, conceptual density functional theory, and multi-reference quantum chemistry - Provides comprehensive coverage by consolidating the knowledge of many well-known researchers in the field from around the world

Nuclear reactor physics is the core discipline of nuclear engineering. Nuclear reactors now account for a significant portion of the electrical power generated worldwide, and new power reactors with improved fuel cycles are being developed. At the same time, the past few decades have seen an ever-increasing number of industrial, medical, military, and research applications for nuclear reactors. The second edition of this successful comprehensive textbook and reference on basic and advanced nuclear reactor physics has been completely updated, revised and enlarged to include the latest developments.

Annual Reports in Computational Chemistry, Volume 17 provides timely and critical reviews on important topics in computational chemistry. Topics covered in the series include quantum chemistry, molecular mechanics, force fields, chemical education, and applications in academic and industrial settings. Focusing on the most recent literature and advances in the field, each article covers a specific topic of importance to computational chemists. - Includes timely discussions on quantum chemistry and molecular mechanics - Covers force fields, chemical education, and more - Presents the latest in chemical education and applications in both academic and industrial settings