The Nuclear Many-body Problem

The Nuclear Many-body Problem PDF

Author: Peter Ring

Publisher:

Published: 1980

Total Pages: 742

ISBN-13:

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This book thoroughly describes our present theoretical knowledge of the nuclear many-body problem. It also covers more standard topics such as the liquid drop model, shell model, rotations and pairing theory. Emphasis is put on the methodology and technical aspects of modern theories and concepts such as small and large amplitude collective motion, boson expansions, generator coordinates, time-dependent Hartree-Fock theory, broken symmetries and semiclassical approximations, which have, up to now, received limited detailed treatment in book form. The Nuclear Many-Body Problem is written for students with a basic knowledge of quantum mechanics and some understanding of nuclear phenomena.The book has become a classic for teaching the most fundamental methods in nuclear physics.

Many-Body Problems and Quantum Field Theory

Many-Body Problems and Quantum Field Theory PDF

Author: Philippe Andre Martin

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 442

ISBN-13: 3662084902

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Emphasis is placed on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas within different domains of physics. Starting from a basic knowledge of quantum mechanics and classical electromagnetism, the exposition is self-contained and explicitly details all steps of the derivations. The new edition features a substantially new treatment of nucleon pairing.

The Many-Body Problem in Quantum Mechanics

The Many-Body Problem in Quantum Mechanics PDF

Author: Norman Henry March

Publisher: Courier Corporation

Published: 1995-01-01

Total Pages: 482

ISBN-13: 0486687546

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Single-volume account of methods used in dealing with the many-body problem and the resulting physics. Single-particle approximations, second quantization, many-body perturbation theory, Fermi fluids, superconductivity, many-boson systems, more. Each chapter contains well-chosen problems. Only prerequisite is basic understanding of elementary quantum mechanics. 1967 edition.

New Vistas in Nuclear Dynamics

New Vistas in Nuclear Dynamics PDF

Author: P. J. Brussaard

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 419

ISBN-13: 1468451790

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The 1985 Summer School on Nuclear Dynamics, organized by the Nuclear Physics Division of the Netherlands' Physical Society, was the sixth in a series that started in 1963. This year's topic has been nuclear dynamics rather than nuclear structure as in the foregoing years. This change reflects a shift in focus to nuclear processes at higher energy, or, more generally, to nuclear processes under less traditional circumstances. For many years nuclear physics has been restricted to the domain of the ground state and excited states of low energy. The boundaries between nuclear physics and high-energy physics are rapidly disappearing, however, and the future will presumably show that the two fields of research will contribute to one another. With the advent of a new generation of heavy-ion and electron accelerators research activities on various new aspects of nuclear dynamics over a wide range of energies have become possible. This research focuses in particular on nonnucleonic degrees of freedom and on nuclear matter under extreme conditions, which require the explicit introduction of quarks into the description of nuclear reactions. Mean-field formulations are no longer adequate for the description of nucleus nucleus collisions at high nucleon energies as the nucleon-nucleon collisions begin to dominate. Novel dynamical theories are being developed, such as those based upon the Boltzmann equation or hadrodynamic models. The vitality of nuclear physics was clearly demonstrated by the enthusiastic lecturers at this summer school. They presented a series of clear and thorough courses on the subjects above.

The Nuclear Many-Body Problem 2001

The Nuclear Many-Body Problem 2001 PDF

Author: Witold Nazarewicz

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 379

ISBN-13: 9401004609

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An expert and illuminating review of the leading models of nuclear structure: effective field theories based on quantum chromodynamics; ab initio models based on Monte Carlo methods employing effective nucleon-nucleon interactions; diagonalization and the Monto Carlo shell model; non-relativistic and relativistic mean-field theory and its extensions; and symmetry-dictated approaches. Theoretical advances in major areas of nuclear structure are discussed: nuclei far from stability and radioactive ion beams; gamma ray spectroscopy; nuclear astrophysics and electroweak interactions in nuclei; electron scattering; nuclear superconductivity; superheavy elements. The interdisciplinary aspects of the many-body problem are also discussed. Recent experimental data are examined in light of state-of-the-art calculations. Recent advances in several broad areas of theoretical structure are covered, making the book ideal as a supplementary textbook.

The Nucleon-nucleon Interaction and the Nuclear Many-body Problem

The Nucleon-nucleon Interaction and the Nuclear Many-body Problem PDF

Author: Gerald E. Brown

Publisher: World Scientific

Published: 2010

Total Pages: 608

ISBN-13: 9814289280

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This book provides a comprehensive overview of some key developments in the understanding of the nucleon-nucleon interaction and nuclear many-body theory. The main problems at the level of meson exchange physics have been solved, and we have an effective field theory using a phenomenological interaction pioneered by Achim Schwenk and Scott Bogner, which is nearly universally accepted as a unique low-momentum interaction that includes all experimental data to date.This understanding is based on a multi-step development in which different scientific insights and a wide range of physical and mathematical methodologies fed into each other. It is best appreciated by looking at the different 'steps along the way', starting with the pioneering work of Brueckner and his collaborators that was just as necessary and important as the insightful masterly improvements to Brueckner's theory by Hans Bethe and his students. Moving on from there, the off-shell effects that bedeviled Bethe's work — which had resulted in the 1963 Reference Spectrum Method — were treated relatively accurately by introducing an energy gap between initial bound states and an intermediate state. With their influential 1967 paper, Brown and Kuo prepared the effective field theory. Later, the introduction of 'Brown-Rho scaling' deepened understanding of saturation in the many-body system and fed directly into recent work on carbon-14 dating.

An Advanced Course in Computational Nuclear Physics

An Advanced Course in Computational Nuclear Physics PDF

Author: Morten Hjorth-Jensen

Publisher: Springer

Published: 2017-05-09

Total Pages: 644

ISBN-13: 3319533363

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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.

A Guide to Feynman Diagrams in the Many-Body Problem

A Guide to Feynman Diagrams in the Many-Body Problem PDF

Author: Richard D. Mattuck

Publisher: Courier Corporation

Published: 2012-08-21

Total Pages: 464

ISBN-13: 0486131645

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Superb introduction for nonspecialists covers Feynman diagrams, quasi particles, Fermi systems at finite temperature, superconductivity, vacuum amplitude, Dyson's equation, ladder approximation, and more. "A great delight." — Physics Today. 1974 edition.

Density Functional Theory

Density Functional Theory PDF

Author: Reiner M. Dreizler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 312

ISBN-13: 3642861059

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Density Functional Theory is a rapidly developing branch of many-particle physics that has found applications in atomic, molecular, solid-state and nuclear physics. This book describes the conceptual framework of density functional theory and discusses in detail the derivation of explicit functionals from first principles as well as their application to Coulomb systems. Both non-relativistic and relativistic systems are treated. The connection of density functional theory with other many-body methods is highlighted. The presentation is self-contained; the book is, thus, well suited for a graduate course on density functional theory.