Critical Nuclear Charge Of Quantum Mechanical Three Body Problem


Critical Nuclear Charge Of Quantum Mechanical Three Body Problem
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The Quantum Mechanical Three Body Problem


The Quantum Mechanical Three Body Problem
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Author : Erich W. Schmid
language : en
Publisher: Elsevier
Release Date : 2017-01-31

The Quantum Mechanical Three Body Problem written by Erich W. Schmid and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-31 with Science categories.


The Quantum Mechanical Three-Body Problem deals with the three-body problem in quantum mechanics. Topics include the two- and three-particle problem, the Faddeev equations and their solution, separable potentials, and variational methods. This book has eight chapters; the first of which introduces the reader to the quantum mechanical three-body problem, its difficulties, and its importance in nuclear physics. Scattering experiments with three-particle breakup are presented. Attention then turns to some concepts of quantum mechanics, with emphasis on two-particle scattering and the Hamiltonian for three particles. The chapters that follow are devoted to the Faddeev equations, including those for scattering states and transition operators, and how such equations can be solved in practice. The solution of the Faddeev equations for separable potentials and local potentials is presented, along with the use of Padé approximation to solve the Faddeev equations. This book concludes with an appraisal of variational methods for bound states, elastic and rearrangement scattering, and the breakup reaction. A promising variational method for solving the Faddeev equations is described. This book will be of value to students interested in three-particle physics and to experimentalists who want to understand better how the theoretical data are derived.



The Quantum Mechanical Few Body Problem


The Quantum Mechanical Few Body Problem
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Author : W. Glöckle
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Quantum Mechanical Few Body Problem written by W. Glöckle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


Few-body systems are both technically relatively simple and physically non trivial enough to test theories quantitatively. For instance the He-atom played historically an important role in verifying predictions of QED. A similar role is contributed nowadays to the three-nucleon system as a testing ground far nuclear dynamics and maybe in the near future to few-quark systems. They are also often the basic building blocks for many-body systems like to some extent nuclei, where the real many-body aspect is not the dominant feature. The presentation of the subject given here is based on lectures held at var ious places in the last ten years. The selection of the topics is certainly subjec tive and influenced by my own research interests. The content of the book is simply organized according to the increasing nu mb er of particles treated. Be cause of its conceptual simplicity single particle motion is very suitable for in troducing the basic elements of scattering theory. Using these elements the two-body system is treated for the specific case of two nucleons, which is of great importance in the study of the nuclear interaction. Great space is devoted to the less trivial few-body system consisting of three particles. Again physical examples are taken solely from nuclear physics. Finally the four particle system is discussed so as to familiarize the reader with the techniques required for the formulations of n-bodies in general.



Stochastic Variational Approach To Quantum Mechanical Few Body Problems


Stochastic Variational Approach To Quantum Mechanical Few Body Problems
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Author : Yasuyuki Suzuki
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01

Stochastic Variational Approach To Quantum Mechanical Few Body Problems written by Yasuyuki Suzuki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.


The quantum-mechanical few-body problem is of fundamental importance for all branches of microphysics and it has substantially broadened with the advent of modern computers. This book gives a simple, unified recipe to obtain precise solutions to virtually any few-body bound-state problem and presents its application to various problems in atomic, molecular, nuclear, subnuclear and solid state physics. The main ingredients of the methodology are a wave-function expansion in terms of correlated Gaussians and an optimization of the variational trial function by stochastic sampling. The book is written for physicists and, especially, for graduate students interested in quantum few-body physics.



Lectures On The Theory Of Few Body Systems


Lectures On The Theory Of Few Body Systems
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Author : Vladimir B. Belyaev
language : en
Publisher: Springer
Release Date : 1990-07-20

Lectures On The Theory Of Few Body Systems written by Vladimir B. Belyaev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-20 with Science categories.


Nuclear physics is undoubtedly a many-body problem. A nice introduction into the present status of this subject may be found in the comprehensive mono graph by P. Ring and P. Schuck "The Nuclear Many-Body Problem" (Springer, Berlin, Heidelberg, New York 1980). However, in view of the many challenging problems that remain to be tackled, it is sensible to consider systems with few particles as model cases. These provide the basis for solving the sophisticated many-body problem posed by intermediate and heavy nuclei. Out of the large number of existing nuclear systems, few-particle, that is few-nucleon, systems can be singled out to form a special group. This is possi ble because a comparatively small number of degrees of freedom (or dynamic variables) is required for a complete description of such systems. In these Lectures we utilize this to study few-body systems in great detail, in particular three-and four-body systems. In contrast to published monographs on the subject, we deal not just with nucleonic degrees of freedom but consider also non-nucleonic degrees of freedom. The range of approaches and methods examined exceeds the scope of other textbooks. The Lectures are organized in such a way as to guide the uninitiated reader through the essentials of solving the dynamical equations of few-body systems directly towards practical applications. Formally oriented readers might like to supplement their reading with texts such as "The Quantum Mechanical Few Body Problem" by W. GlOckle (Springer, Berlin, Heidelberg, New York 1983).



The Quantum Mechanical Three Body Problem


The Quantum Mechanical Three Body Problem
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Author : Erich Schmid
language : en
Publisher: Pergamon
Release Date : 1974

The Quantum Mechanical Three Body Problem written by Erich Schmid and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Nuclear physics categories.




The Many Body Problem In Quantum Mechanics


The Many Body Problem In Quantum Mechanics
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Author : Norman Henry March
language : en
Publisher: Courier Corporation
Release Date : 1995-01-01

The Many Body Problem In Quantum Mechanics written by Norman Henry March and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Science categories.


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.



The Nuclear Many Body Problem


The Nuclear Many Body Problem
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Author : Peter Ring
language : en
Publisher: Springer
Release Date : 2004-04-05

The Nuclear Many Body Problem written by Peter Ring and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-05 with Science categories.


From the reviews: "Its scope and complexity are suitable for easy reading by beginning students of nuclear theory. With a crisp and concise style, the authors quickly develop the shell-model approach to the nuclear many-body problem and subsequently devote more than a third of the text to Hartree-Fock and related models..." Physics Today



Many Body Theory Exposed


Many Body Theory Exposed
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Author : Willem H Dickhoff
language : en
Publisher: World Scientific Publishing Company
Release Date : 2008-05-02

Many Body Theory Exposed written by Willem H Dickhoff and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-02 with Science categories.


This comprehensive textbook on the quantum mechanics of identical particles includes a wealth of valuable experimental data, in particular recent results from direct knockout reactions directly related to the single-particle propagator in many-body theory. The comparison with data is incorporated from the start, making the abstract concept of propagators vivid and accessible. Results of numerical calculations using propagators or Green's functions are also presented. The material has been thoroughly tested in the classroom and the introductory chapters provide a seamless connection with a one-year graduate course in quantum mechanics. While the majority of books on many-body theory deal with the subject from the viewpoint of condensed matter physics, this book emphasizes finite systems as well and should be of considerable interest to researchers in nuclear, atomic, and molecular physics. A unified treatment of many different many-body systems is presented using the approach of self-consistent Green's functions. The second edition contains an extensive presentation of finite temperature propagators and covers the technique to extract the self-energy from experimental data as developed in the dispersive optical model. The coverage proceeds systematically from elementary concepts, such as second quantization and mean-field properties, to a more advanced but self-contained presentation of the physics of atoms, molecules, nuclei, nuclear and neutron matter, electron gas, quantum liquids, atomic Bose–Einstein and fermion condensates, and pairing correlations in finite and infinite systems, including finite temperature.



Perturbation Theory And The Nuclear Many Body Problem


Perturbation Theory And The Nuclear Many Body Problem
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Author : Kailash Kumar
language : en
Publisher:
Release Date : 1962

Perturbation Theory And The Nuclear Many Body Problem written by Kailash Kumar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Many-body problem categories.




Introduction To Modern Methods Of Quantum Many Body Theory And Their Applications


Introduction To Modern Methods Of Quantum Many Body Theory And Their Applications
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Author : A. Fabrocini
language : en
Publisher: World Scientific
Release Date : 2002

Introduction To Modern Methods Of Quantum Many Body Theory And Their Applications written by A. Fabrocini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.


The book contains pedagogical articles on the dominant non-stochastic methods of microscopic many-body theories: Density functional theory, coupled cluster theory, and correlated basis functions methods in their widest sense. Further articles introduce students to applications of these methods in front -- line research such as Bose-Einstein condensates, the nuclear many-body problem, and the dynamics of quantum liquids. These keynote articles are supplemented by experimental reviews on intimately connected topics of current relevance. The book addresses the striking lack of pedagogical reference literature in the field that allows researchers to acquire the requisite physical insight and technical skills. The volume should, therefore, not only researchers to acquire the requisite physical insight and technical skills. The volume should, therefore, not only serve as a collection of information relevant to those who attended the school, but it provides be useful reference material to a broad range of theoretical physicists in condensed matter and nuclear theory.