Simple Models of Many-Fermion Systems PDF Download
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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: Joachim Alexander Maruhn
Publisher: Springer Science & Business Media
ISBN: 3642038395
Category : Science
Languages : en
Pages : 281
Get Book Here
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: Felix Finster
Publisher: Springer
ISBN: 3319420674
Category : Science
Languages : en
Pages : 554
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Book Description
This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting cases and is therefore a candidate for a unified physical theory. From the mathematical perspective, causal fermion systems provide a general framework for describing and analyzing non-smooth geometries and "quantum geometries". The dynamics is described by a novel variational principle, called the causal action principle. In addition to the basics, the book provides all the necessary mathematical background and explains how the causal action principle gives rise to the interactions of the standard model plus gravity on the level of second-quantized fermionic fields coupled to classical bosonic fields. The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space. The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.
Author: Paul-Gerhard Reinhard
Publisher: Wiley-VCH
ISBN: 9783527407316
Category : Science
Languages : en
Pages : 270
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Book Description
Praised by reviewers for clarity, presentation and general concept of teaching, "Simple Models of Many Fermion Systems: With Fortran Codes" provides an undergraduate-accessible route to understanding many-particle systems. The book explains how to develop simplified and generic models enabling the reader to understand the principles and mechanisms, rather than just listing the relevant formulae. Complementing numerical tools help to understand and follow the course, and also meet the need for incorporation of computational physics in modern texts.
Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 1364
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Book Description
Author: Paul Urban
Publisher: Springer Science & Business Media
ISBN: 370914034X
Category : Science
Languages : en
Pages : 919
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Book Description
The observation of the scaling properties of the structure functions w and vw of deep inelastic electron 1 2 nucleon scattering [1]+ has been taken by many people as an indication for an approximate scale invariance of the world. It was pointed out by Wilson [2], that in many field theories it is possible to assign a dimension d to every fundamental field, which proves to be a conserved quantum number as far as the most singular term of an operator product expansion at small distances ((x-y) +a) is con- JJ cerned++. Later it was shown, at the canonical level, that in many field theories the dimension of a field seems to be a c:pod quantum number even in the terms less singular at small (x-y) , as long as they all belong to the strongest \l light cone singularity (i. e. (x-y)2+a) [3]. The assumption that this type of scale invariance on the light cone be present in the operator product ex pansion of two electromagnetic currents has provided us with a rather natural explanation of the observed scaling phenomena. We should like to mention, however, that this ex planation cannot account for the precocity with which scaling is being observed experimentally in energy regions, in which resonances still provide prominent contributions to the final states [4].
Author: Richard F Casten
Publisher: World Scientific
ISBN: 9814549975
Category :
Languages : en
Pages : 780
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Book Description
These proceedings comprise the contents of a major international conference on Perspectives of the Interacting Boson Model. Occasioned by the 20th Anniversary of this model, and attended by approx. 130 scientists from 29 countries, the topics focused on current and future research, which relates to the IBM. This model has now become one of the standard approaches to nuclear structure and has helped usher in a renaissance in that field and a new, unified perspective that focuses on dynamical symmetries and the key role of the valence nucleons. The algebraic approach fostered by the model is being extended to other fields, including nuclear reactions, molecular physics and baryon structure.
Author: Eugene S. Kryachko
Publisher: Springer Science & Business Media
ISBN: 9400919700
Category : Science
Languages : en
Pages : 862
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Book Description
Author: Piers Coleman
Publisher: Cambridge University Press
ISBN: 1316432025
Category : Science
Languages : en
Pages : 815
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Book Description
A modern, graduate-level introduction to many-body physics in condensed matter, this textbook explains the tools and concepts needed for a research-level understanding of the correlated behavior of quantum fluids. Starting with an operator-based introduction to the quantum field theory of many-body physics, this textbook presents the Feynman diagram approach, Green's functions and finite-temperature many-body physics before developing the path integral approach to interacting systems. Special chapters are devoted to the concepts of Fermi liquid theory, broken symmetry, conduction in disordered systems, superconductivity and the physics of local-moment metals. A strong emphasis on concepts and numerous exercises make this an invaluable course book for graduate students in condensed matter physics. It will also interest students in nuclear, atomic and particle physics.
Author: John W. Negele
Publisher: CRC Press
ISBN: 0429977557
Category : Science
Languages : en
Pages : 361
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Book Description
This book explains the fundamental concepts and theoretical techniques used to understand the properties of quantum systems having large numbers of degrees of freedom. A number of complimentary approaches are developed, including perturbation theory; nonperturbative approximations based on functional integrals; general arguments based on order parameters, symmetry, and Fermi liquid theory; and stochastic methods.
Author: Kenny B. Lipkowitz
Publisher: John Wiley & Sons
ISBN: 0470399538
Category : Science
Languages : en
Pages : 570
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Book Description
Computational chemistry is increasingly used in conjunction with organic, inorganic, medicinal, biological, physical, and analytical chemistry, biotechnology, materials science, and chemical physics. This series is essential in keeping those individuals involved in these fields abreast of recent developments in computational chemistry.
