Two-particle Correlations in Many-fermion Systems PDF Download
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Author: Paul Anthony Westhaus
Publisher:
ISBN:
Category : Many-body problem
Languages : en
Pages : 544
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Author: Paul Anthony Westhaus
Publisher:
ISBN:
Category : Many-body problem
Languages : en
Pages : 544
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Author: Vladimir Z. Kresin
Publisher: Springer Science & Business Media
ISBN: 1489915559
Category : Science
Languages : en
Pages : 290
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Book Description
At first glance, the articles in this book may appear to have nothing in common. They cover such seemingly disparate subjects as the properties of small metallic clusters and the behavior of superfluid He3, nuclear physics and organic materials, copper oxides and mag netic resonance. Why have they been brought together, particUlarly in our time of narrow spe cialization? In fact, the properties and effects described in this book touch upon one and the same fundamental phenomenon: pair correlation. Introduced in the theory of superconductivity by J. Bardeen, L. Cooper, and J. Schrieffer (BCS), this effect plays a key role in various Fermi systems. The book consists of several sections. The first chapter is concerned with conven tional and high Tc superconductors. The second chapter describes two relatively young fami lies of superconductors: organics and fullerenes. Chapter III addresses the superfluidity of 3 He • The discovery of this phenomenon in 1971 was a big event in physics and last year was acknowledged by a Nobel prize. This book contains the text of the Nobel lecture. Chapters IV and V are devoted to correlations in finite Fermi systems such as small metallic clusters, C 60 anions, and atomic nuclei. The book thus covers a broad range of problems, illuminating the close ties between various areas of physics.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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The ground-state wave function and energy of a finite system of interacting fermions are expanded in terms of multiple-particle excitations on an uncorrelated zero-order state. The resulting set of coupled equations constitutes a systematic variational generalization of Hartree-Fock theory. Comparison is made with many-body perturbation theory and it is shown that to any order the theory incorporates an infinite number of perturbation theory terms. Solutions of the equations for ground-state atomic systems are discussed and related to previous work using many-body perturbation theory. It is shown that the sums of perturbation terms necessary for convergence are automatically included in the equations for two-particle excitations. Application of the equations to open-shell atoms is described.
Author: Jose M Arias
Publisher: World Scientific
ISBN: 9814545171
Category :
Languages : en
Pages : 370
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Book Description
The structure of matter is intimately related to the fundamental role played by many-fermion systems. The development in the last few decades of the microscopic many-body theory of correlated fermion systems has been a fertile ground not only for spectacular achievements in basic science in various areas of research, but also for technological applications. Among the numerous phenomena discovered and studied in systems of many fermions, one can cite the superconductivity in metals, the superfluidity in 3He, nuclear matter and nuclei, the quantum Hall effect, the giant resonances in nuclei, the Anderson location and the metal-insulator transition, hole and electron diffusion in doped semiconductors, etc. All these phenomena can be understood only in terms of correlations occurring in many-fermion systems, and the formulation of the correct microscopic theory of each phenomenon has marked a milestone in pure science as well as the starting point for the exploitation of its potential technological applications. It is likely that in the future further developments will take place in this field of basic science.The Hispalensis International School is a summer school aimed mainly at young physicists, both theoreticians and experimentalists, engaged in research work at the predoctoral or recent postdoctoral level. The objective of the School provide an opportunity for participants to come into contact with experienced researchers and hear their clear account of the state of the art of many-body theories in nuclear physics, as well as in related fields, and the main future lines of development.
Author: Hartmut Hafermann
Publisher: Cuvillier
ISBN: 9783869553474
Category :
Languages : en
Pages : 0
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Book Description
Spatial correlations are of fundamental importance for many fascinating aspects of solid state physics, such as non-Fermi-liquid behavior, spin fluctuations, high-temperature superconductivity and quantum criticality. The major part of this book is devoted to the dual fermion approach, which combines numerical and field theoretical diagrammatic methods to describe the effects of spatial correlations beyond dynamical mean-field theory (DMFT). The approach is generalized in various respects. It is shown that it has superior convergence properties compared to standard diagrammatic extensions of DMFT and its applicable even in presence of strong interactions. Numerical calculations employ the recently developed continuous-time quantum Monte Carlo methods, which are generalized to compute two-particle correlations functions. These techniques are used to study the two-plane Hubbard model on the Bethe lattice, the spatial correlations around a Kondo impurity and the Hubbard model in finite dimensions. Based on a ladder approximation to the dual-energy, a scheme is proposed which for the first time will allow a realistic and computationally feasible description of strongly correlated materials for which the correlations are manifestly long-ranged. In addition to the key scientific results, this book contains significant introductory materials to the models, methods and concepts used for the theoretical description of quantum many-particle systems. In particular the continuous-time quantum Monte Carlo methods are described in detail and on an elementary level. Providing technical details and complete derivations, this book is meant to help in the implementation of these novel approaches and to serve as an introduction and a reference for students beginning to work in this field.
Author: Herbert Wagner
Publisher:
ISBN:
Category :
Languages : de
Pages : 13
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Author: Joachim Alexander Maruhn
Publisher: Springer Science & Business Media
ISBN: 3642038395
Category : Science
Languages : en
Pages : 281
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Book Description
The term “ nite Fermi systems” usually refers to systems where the fermionic nature of the constituents is of dominating importance but the nite spatial extent also cannot be ignored. Historically the prominent examples were atoms, molecules, and nuclei. These should be seen in contrast to solid-state systems, where an in nite extent is usually a good approximation. Recently, new and different types of nite Fermi systems have become important, most noticeably metallic clusters, quantum dots, fermion traps, and compact stars. The theoretical description of nite Fermi systems has a long tradition and dev- oped over decades from most simple models to highly elaborate methods of ma- body theory. In fact, nite Fermi systems are the most demanding ground for theory as one often does not have any symmetry to simplify classi cation and as a possibly large but always nite particle number requires to take into account all particles. In spite of the practical complexity, most methods rely on simple and basic schemes which can be well understood in simple test cases. We therefore felt it a timely undertaking to offer a comprehensive view of the underlying theoretical ideas and techniques used for the description of such s- tems across physical disciplines. The book demonstrates how theoretical can be successively re ned from the Fermi gas via external potential and mean- eld m- els to various techniques for dealing with residual interactions, while following the universality of such concepts like shells and magic numbers across the application elds.
Author: Valentin Nikolaev
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Igor V. Lerner
Publisher: Springer Science & Business Media
ISBN: 9401005303
Category : Science
Languages : en
Pages : 405
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Book Description
The physics of strongly correlated fermions and bosons in a disordered envi ronment and confined geometries is at the focus of intense experimental and theoretical research efforts. Advances in material technology and in low temper ature techniques during the last few years led to the discoveries of new physical of atomic gases and a possible metal phenomena including Bose condensation insulator transition in two-dimensional high mobility electron structures. Situ ations were the electronic system is so dominated by interactions that the old concepts of a Fermi liquid do not necessarily make a good starting point are now routinely achieved. This is particularly true in the theory of low dimensional systems such as carbon nanotubes, or in two dimensional electron gases in high mobility devices where the electrons can form a variety of new structures. In many of these sys tems disorder is an unavoidable complication and lead to a host of rich physical phenomena. This has pushed the forefront of fundamental research in condensed matter towards the edge where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to the understand ing of novel phenomena.
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1310
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Book Description
