The Flow Equation Approach To Many Particle Systems
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The Flow Equation Approach To Many Particle Systems
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Author : Stefan Kehrein
language : en
Publisher: Springer
Release Date : 2007-01-09
The Flow Equation Approach To Many Particle Systems written by Stefan Kehrein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-09 with Science categories.
Overthepastdecade,the?owequationmethodhasdevelopedintoanewv- satile theoretical approach to quantum many-body physics. Its basic concept was conceived independently by Wegner [1] and by G lazek and Wilson [2, 3]: the derivation of a unitary ?ow that makes a many-particle Hamiltonian - creasingly energy-diagonal. This concept can be seen as a generalization of theconventionalscalingapproachesinmany-bodyphysics,wheresomeult- violet energy scale is lowered down to the experimentally relevant low-energy scale [4]. The main di?erence between the conventional scaling approach and the ?ow equation approach can then be traced back to the fact that the ?ow equation approach retains all degrees of freedom, i. e. the full Hilbert space, while the conventional scaling approach focusses on some low-energy subspace. One useful feature of the ?ow equation approach is therefore that it allows the calculation of dynamical quantities on all energy scales in one uni?ed framework. Since its introduction, a substantial body of work using the ?ow eq- tion approach has accumulated. It was used to study a number of very d- ferent quantum many-body problems from dissipative quantum systems to correlated electron physics. Recently, it also became apparent that the ?ow equation approach is very suitable for studying quantum many-body n- equilibrium problems, which form one of the current frontiers of modern theoretical physics. Therefore the time seems ready to compile the research literature on ?ow equations in a consistent and accessible way, which was my goal in writing this book.
The Flow Equation Approach To Many Particle Systems
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Author : Stefan Kehrein
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-07
The Flow Equation Approach To Many Particle Systems written by Stefan Kehrein 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 2006-07-07 with Science categories.
This self-contained introduction addresses the novel flow equation approach for many particle systems and provides an up-to-date review of the subject. The text first discusses the general ideas and concepts of the flow equation method, and then in a second part illustrates them with various applications in condensed matter theory. The third and last part of the book contains an outlook with current perspectives for future research.
Tensor Network States And Effective Particles For Low Dimensional Quantum Spin Systems
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Author : Laurens Vanderstraeten
language : en
Publisher: Springer
Release Date : 2017-08-10
Tensor Network States And Effective Particles For Low Dimensional Quantum Spin Systems written by Laurens Vanderstraeten and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-10 with Science categories.
This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions. Combining these developments, it subsequently uses the formalism of tensor network states to derive an effective particle description for one- and two-dimensional spin systems that exhibit strong quantum correlations. These techniques arise from the combination of two themes in many-particle physics: (i) the concept of quasiparticles as the effective low-energy degrees of freedom in a condensed-matter system, and (ii) entanglement as the characteristic feature for describing quantum phases of matter. Whereas the former gave rise to the use of effective field theories for understanding many-particle systems, the latter led to the development of tensor network states as a description of the entanglement distribution in quantum low-energy states.
Introduction To The Functional Renormalization Group
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Author : Peter Kopietz
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-03
Introduction To The Functional Renormalization Group written by Peter Kopietz 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 2010-05-03 with Language Arts & Disciplines categories.
This book, based on a graduate course given by the authors, is a pedagogic and self-contained introduction to the renormalization group with special emphasis on the functional renormalization group. The functional renormalization group is a modern formulation of the Wilsonian renormalization group in terms of formally exact functional differential equations for generating functionals. In Part I the reader is introduced to the basic concepts of the renormalization group idea, requiring only basic knowledge of equilibrium statistical mechanics. More advanced methods, such as diagrammatic perturbation theory, are introduced step by step. Part II then gives a self-contained introduction to the functional renormalization group. After a careful definition of various types of generating functionals, the renormalization group flow equations for these functionals are derived. This procedure is shown to encompass the traditional method of the mode elimination steps of the Wilsonian renormalization group procedure. Then, approximate solutions of these flow equations using expansions in powers of irreducible vertices or in powers of derivatives are given. Finally, in Part III the exact hierarchy of functional renormalization group flow equations for the irreducible vertices is used to study various aspects of non-relativistic fermions, including the so-called BCS-BEC crossover, thereby making the link to contemporary research topics.
The Future Of Nuclear Structure Challenges And Opportunities In The Microscopic Description Of Nuclei
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Author : Luigi Coraggio
language : en
Publisher: Frontiers Media SA
Release Date : 2021-03-10
The Future Of Nuclear Structure Challenges And Opportunities In The Microscopic Description Of Nuclei written by Luigi Coraggio and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-10 with Science categories.
Precision Electroweak Physics At Electron Positron Colliders
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Author : Stefan Roth
language : en
Publisher: Springer Science & Business Media
Release Date : 2007
Precision Electroweak Physics At Electron Positron Colliders written by Stefan Roth 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 2007 with Science categories.
This up-to-date volume reviews the recent contributions of electron-positron colliders to the precision test of the electroweak Standard Model. In particular, it contains a short summary of the measurements at the Z resonance and gives an overview of the electroweak processes above the Z. Subsequently, the measurement of the W mass at LEP is discussed in detail. The implications for the precision test of the Standard Model are presented, giving the status of the global electroweak fit before the startup of Large Hadron Collider. The final chapters give an outlook on the electroweak physics at a future linear collider. The book also features many illustrations and tables. Readers obtain a coherent overview of the results of 20 years of electroweak physics conducted at electron-positron colliders.
Theory Of Light Hydrogenic Bound States
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Author : Michael I. Eides
language : en
Publisher: Springer Science & Business Media
Release Date : 2007
Theory Of Light Hydrogenic Bound States written by Michael I. Eides 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 2007 with Mathematics categories.
The book describes the modern theory of light hydrogen-like systems, and the discussion is based on quantum electrodynamics. In particular, Green's functions, relativistic bound-state equations and Feynman diagrams are extensively used. New theoretical approaches are described and explained. The book contains derivation of many theoretical results obtained in recent years. A complete set of all theoretical results for the energy levels of hydrogen-like bound states, as well as comparison with experiment, is presented.
Inelastic Light Scattering Of Semiconductor Nanostructures
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Author : Christian Schüller
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-14
Inelastic Light Scattering Of Semiconductor Nanostructures written by Christian Schüller 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 2006-09-14 with Technology & Engineering categories.
The field of semiconductor nanostructures is of enormous and still-growing research interest. On one hand, they are already realized in mass products such as high-electron-mobility field-effect transistors and quantum-well lasers. On the other hand, they allow, in specially tailored systems, the investigation of fundamental properties such as many-particle interactions of electrons in reduced dimensions. This book bridges the gap between general semiconductor textbooks and research articles.
High Energy Polarized Proton Beams
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Author : Georg Heinz Hoffstaetter
language : en
Publisher: Springer
Release Date : 2009-03-27
High Energy Polarized Proton Beams written by Georg Heinz Hoffstaetter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-27 with Science categories.
This book examines the acceleration and storage of polarized proton beams in cyclic accelerators. Basic equations of spin motion are reviewed, the invariant spin field is introduced, and an adiabatic invariant of spin motion is derived. The text presents numerical methods for computing the invariant spin field, and displays the results in numerous illustrations. This book offers a more lucid view of spin dynamics at high energy than has hitherto been available.
Electrical Resistivity Of Thin Metal Films
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Author : Peter Wissmann
language : en
Publisher: Springer
Release Date : 2007-04-19
Electrical Resistivity Of Thin Metal Films written by Peter Wissmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-19 with Science categories.
The intent of this book is to report on the electrical, optical, and structural properties of silver and gold films in dependence on substrate material, annealing treatment, and gas adsorption. A main point is the calculation of the scattering cross section of the conduction electrons. All results are substantiated by extended experimental data, as well as numerous illustrations and tables.