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Author: Morten Hjorth-Jensen
Publisher: Springer
ISBN: 3319533363
Category : Science
Languages : en
Pages : 654
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Book Description
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.
Author: Morten Hjorth-Jensen
Publisher: Springer
ISBN: 3319533363
Category : Science
Languages : en
Pages : 654
Get Book Here
Book Description
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.
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 632
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Book Description
NSA is a comprehensive collection of international nuclear science and technology literature for the period 1948 through 1976, pre-dating the prestigious INIS database, which began in 1970. NSA existed as a printed product (Volumes 1-33) initially, created by DOE's predecessor, the U.S. Atomic Energy Commission (AEC). NSA includes citations to scientific and technical reports from the AEC, the U.S. Energy Research and Development Administration and its contractors, plus other agencies and international organizations, universities, and industrial and research organizations. References to books, conference proceedings, papers, patents, dissertations, engineering drawings, and journal articles from worldwide sources are also included. Abstracts and full text are provided if available.
Author: Yousry Azmy
Publisher: Springer Science & Business Media
ISBN: 9048134110
Category : Technology & Engineering
Languages : en
Pages : 476
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Book Description
Nuclear engineering has undergone extensive progress over the years. In the past century, colossal developments have been made and with specific reference to the mathematical theory and computational science underlying this discipline, advances in areas such as high-order discretization methods, Krylov Methods and Iteration Acceleration have steadily grown. Nuclear Computational Science: A Century in Review addresses these topics and many more; topics which hold special ties to the first half of the century, and topics focused around the unique combination of nuclear engineering, computational science and mathematical theory. Comprising eight chapters, Nuclear Computational Science: A Century in Review incorporates a number of carefully selected issues representing a variety of problems, providing the reader with a wealth of information in both a clear and concise manner. The comprehensive nature of the coverage and the stature of the contributing authors combine to make this a unique landmark publication. Targeting the medium to advanced level academic, this book will appeal to researchers and students with an interest in the progression of mathematical theory and its application to nuclear computational science.
Author: John Killeen
Publisher: Elsevier
ISBN: 0323149367
Category : Science
Languages : en
Pages : 465
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Book Description
Methods in Computational Physics, Volume 16: Controlled Fusion considers the full variety of computer models needed for the simulation of realistic fusion devices. These computer models include time-dependent magnetohydrodynamics, plasma transport in a magnetic field, MHD and guiding-center equilibria, MHD stability of confinement systems, Vlasov and particle models, and multispecies Fokker-Planck codes. This volume is divided into 11 chapters. The first three chapters discuss various aspects of the numerical solution of the equations of magnetohydrodynamics (MHD). The subsequent chapters present the more realistic models, including the thermal conductivity and electrical resistivity. Other chapters describe two-dimensional codes with varies choice of coordinate systems, such as fixed Eulerian grid, Lagrangian descriptions, and the use of magnetic flux surfaces as coordinate surfaces. The discussion then shifts to models on the inclusion of neutrals and impurities, as well as the use of empirical transport coefficients. A chapter surveys the development of time-dependent codes to support the design and operation of major CTR experiment. The final chapters explore the electromagnetic codes in the nonradiative limit (Darwin model) where the equations are nonrelativistic and displacement currents are neglected. This book is an invaluable source for geoscientists, physicists, and mathematicians.
Author: Bruce Bolt
Publisher: Academic Press
ISBN: 0323148360
Category : Science
Languages : en
Pages : 489
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Book Description
Methods in Computational Physics, Volume 13: Geophysics is a 10-chapter text that focuses with the theoretical solid-earth geophysics. This volume specifically covers the general topics of terrestrial magnetism and electricity, the Earth's gravity field, tidal deformations, dynamics of global spin, spin processing, and convective models for the deep interior. This volume surveys first the construction of mathematical models, such as the representation of the geomagnetic field by assuming arrangements of multipole sources in the core and the fast computer evaluation of two- and three-dimensional gravity models, which revolutionized their use in mineral prospecting and in studies of the crust. These topics are followed by a presentation of geophysical modeling and the uncertainties involved in quantitative convection studies of mantle flow. Other chapters explore the construction of numerical geophysical models related intimately to the inverse problem whereby maximum likelihood estimates of the required parameters must be determined along with calculation of confidence limits, including density, conductivity, and viscosity. The remaining chapters are devoted to the importance of harmonic analysis in geophysics, particularly spherical harmonic analysis, which has seen many refinements and applications. Physicists, geoscientists, and mathematicians will find this book invaluable.
Author: Berni Alder
Publisher: Elsevier
ISBN: 0323154492
Category : Science
Languages : en
Pages : 356
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Book Description
Methods in Computational Physics, Volume 10: Atomic and Molecular Scattering presents the digital methods used in producing quantitative results from the theory of atomic and molecular scattering. This volume contains seven chapters that specifically consider the methods that produce quantum mechanical wavefunctions from which cross sections are deduced. Chapter 1 covers the solutions of the systems of coupled integro-differential equations using the Hartree and Hartree-Fock methods for atomic structure calculations and the eigenfunction expansion method for electron-atom collision calculations. Chapter 2 treats the translation of the formal results into a generally applicable, efficient, and numerically stable method for solving quantum-mechanical scattering problems. Chapter 3 discusses the exponential method of solution as applied in inelastic scattering, the reaction coordinates for a collinear reactive system, and the modifications of the computational method required for reactive scattering. Chapter 4 outlines the theory and the calculational techniques involved in the use of algebraic expansions in scattering problems, while Chapter 5 deals with the solution of the close-coupled equations. Chapter 6 evaluates the collision between two quantum-mechanical systems with internal structure using the quantum-mechanical operator equations. Lastly, Chapter 7 focuses on the principles and applications of classical trajectory methods.
Author: Berni Alder
Publisher: Elsevier
ISBN: 0323158978
Category : Nature
Languages : en
Pages : 253
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Book Description
Methods in Computational Physics, Volume 14: Radio Astronomy is devoted to the role of the digital computer both as a control device and as a calculator in addressing problems related to galactic radio noise. This volume contains four chapters and begins with a technical description of the hardware and the special data-handling problems of using radioheliography, with an emphasis on a selection of observational results obtained with the Culgoora radioheliograph and their significance to solar physics and to astrophysics in general. The subsequent chapter examines interstellar dispersion, its influence on time resolution, methods for its measurement, and removing its effect. This chapter also outlines resolution and sampling problems, as well as the computation of the average pulse profile. This chapter surveys also the intensity variations over time scales from microseconds to millions of years and over radio frequency ranges from 40 MHz to 10 GHz. Another chapter highlights the special case of rotational aperture synthesis and its problems, followed by a presentation of data processing necessary to convert the parameters observed with an aperture synthesis telescope into an intensity distribution of part of the sky. The last chapter discusses some data-acquisition and data reduction techniques, as well as some selected problems in data interpretation in spectral-line radio astronomy. This book will be of great importance to geoscientists, physicists, and mathematicians.
Author: Julius Chang
Publisher: Elsevier
ISBN: 0323154824
Category : Science
Languages : en
Pages : 348
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Book Description
Methods in Computational Physics, Volume 17: General Circulation Models of the Atmosphere is a five-chapter text that covers the fundamentals and application of general circulation models to solving practical problems related to the atmosphere. The first chapter describes the various options in modeling physical processes and computational procedures. The next two chapters illustrate the influence of practical considerations to the compromise between a detailed physical description and reasonable computing time. Other chapters outline the computational details of two different numerical schemes for general circulation models. These chapters particularly provide an in-depth analysis of finite difference methods by proceeding from general considerations of homogeneous incompressible flow to the fine details of the particular numerical scheme. The final chapter discusses the fundamentals of the alternative spectral method for a multilevel spectral model that illustrates the capability of that approach. This book is of value to geoscientists, mathematicians, and physicists.
Author: Gideon Gilat
Publisher: Elsevier
ISBN: 032315008X
Category : Science
Languages : en
Pages : 445
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Book Description
Methods in Computational Physics, Volume 15: Vibrational Properties of Solids explores the application of computational methods to delineate microscopic vibrational behavior. This book is composed of nine chapters that further illustrate the utility of these methods to ordered lattices, quantum solids, impurity modes, surface modes, and amorphous solids. The opening chapters present the basic theoretical models and their computational aspects for different solids of diverse chemical nature, together with some methods of automation and computation in the highly sophisticated experiments in inelastic scattering of neutrons. These topics are followed by a discussion on how group theoretical methods treated by computers can yield the proper symmetry assignments of phonon eigenvalues and eigenstates. Considerable chapters are devoted to the different applications of traditional lattice dynamics, each having its own computational ramification. Other chapters survey the properties of solids that mostly involve integrations over the Brillouin zone. The last chapter concerns the dynamic or time-dependent aspect of lattice dynamics, namely, the calculation of thermal and electric conductivities in some models of solids. This book is of great benefit to geoscientists, physicists, and mathematicians.
Author: Paul Denis Stevenson
Publisher: Frontiers Media SA
ISBN: 2889665674
Category : Science
Languages : en
Pages : 171
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Book Description
