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Bosonization Of Interacting Fermions In Arbitrary Dimensions


Bosonization Of Interacting Fermions In Arbitrary Dimensions
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Bosonization Of Interacting Fermions In Arbitrary Dimensions


Bosonization Of Interacting Fermions In Arbitrary Dimensions
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Author : Peter Kopietz
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-04-17

Bosonization Of Interacting Fermions In Arbitrary Dimensions 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 1997-04-17 with Science categories.


The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest. The book addresses researchers and graduate students in theoretical condensed matter physics.



Bosonization Of Interacting Fermions In Arbitrary Dimensions


Bosonization Of Interacting Fermions In Arbitrary Dimensions
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Author : Peter Kopietz
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-16

Bosonization Of Interacting Fermions In Arbitrary Dimensions 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 2008-12-16 with Science categories.


The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest. The book addresses researchers and graduate students in theoretical condensed matter physics.



Introduction To The Functional Renormalization Group


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.



Dynamics Of Classical And Quantum Fields


Dynamics Of Classical And Quantum Fields
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Author : Girish S. Setlur
language : en
Publisher: Taylor & Francis
Release Date : 2013-12-05

Dynamics Of Classical And Quantum Fields written by Girish S. Setlur and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-05 with Science categories.


Dynamics of Classical and Quantum Fields: An Introduction focuses on dynamical fields in non-relativistic physics. Written by a physicist for physicists, the book is designed to help readers develop analytical skills related to classical and quantum fields at the non-relativistic level, and think about the concepts and theory through numerous probl



35 Years Of Condensed Matter And Related Physics Proceedings Of The Raymond L Orbach Symposium


35 Years Of Condensed Matter And Related Physics Proceedings Of The Raymond L Orbach Symposium
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Author : Daniel W Hone
language : en
Publisher: World Scientific
Release Date : 1996-10-02

35 Years Of Condensed Matter And Related Physics Proceedings Of The Raymond L Orbach Symposium written by Daniel W Hone and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-02 with categories.


The 9 papers of this volume were presented at the March 1995 Symposium honoring Raymond L Orbach on his 60th birthday. The range of topics reflects the breadth of Dr Orbach's own research. It includes magnetism and transport in nanostructures, crystal fields in superconducting cuprates, fractons and scaling in disordered systems, glassy relaxation, inelastic atom-crystal scattering, bosonization in d > 1, and microwave effects in superconductors.



X Ray Spectroscopy In Astrophysics


X Ray Spectroscopy In Astrophysics
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Author : Jan van Paradijs
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-02-17

X Ray Spectroscopy In Astrophysics written by Jan van Paradijs 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 1999-02-17 with Science categories.


This volume contains a comprehensive treatment of X-ray spectroscopy, as applied in astrophysics. It is presented in the form of extensive notes of lectures given by seven distinguished scientists at the Tenth Summer School of the European Astrophysics Doctoral Network. The subjects covered are: basic line and continuum radiation processes in X-ray and gamma-ray astronomy; atomic physics of collision- and radiation-dominated plasmas; X-ray spectroscopic observations with ASCA and BeppoSAX; future X-ray spectroscopy missions; X-ray optics, and X-ray spectroscopy instrumentation. The book, which will appeal to both researchers and graduate students, is timely in view of the scheduled launches of the big X-ray observatories AXAF and XMM in 1999.



Impacts On Earth


Impacts On Earth
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Author : Daniel Benest
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-03-18

Impacts On Earth written by Daniel Benest 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 1998-03-18 with Science categories.


Impact phenomena play an essential role in the formation of planets and great influence during their evolution. The first part of this book describes the dynamics that propels asteroids in our solar system; the second part is devoted to impact phenomena; the third inspects terrestrial impacts of asteroids and the hazards due to space debris orbiting our planet. The book addresses scientists working in astronomy, extraterrestrial physics and geophysics. But it should also be of great interest to a learned public that wants to know about the most recent developments in this fast-moving field of theoretical and observational research.



A Perspective Look At Nonlinear Media


A Perspective Look At Nonlinear Media
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Author : Jürgen Parisi
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-02-26

A Perspective Look At Nonlinear Media written by Jürgen Parisi 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 1998-02-26 with Science categories.


Concepts of nonlinear physics are applied to an increasing number of research disciplines. With this volume, the editors offer a selection of articles on nonlinear topics in progress, ranging from physics and chemistry to biology and some applications of social science. The book covers quantum optics, electron crystallization, cellular or flow patterns in fluids and in granular media, biological systems, and the control of brain structures via neuronal excitation. Chemical patterns are looked at both in bulk solutions and on surfaces in heterogeneous systems. From regular structures, the authors turn to the more complex behavior in biology and physics, such as hydrodynamical turbulence, low-dimensional dynamics in solid-state physics, and gravity.



Advanced Quantum Condensed Matter Physics


Advanced Quantum Condensed Matter Physics
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Author : Michael El-Batanouny
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-26

Advanced Quantum Condensed Matter Physics written by Michael El-Batanouny and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-26 with Science categories.


Based on an established course, this comprehensive textbook on advanced quantum condensed matter physics covers one-body, many-body and topological perspectives. Discussing modern topics and containing end-of-chapter exercises throughout, it is ideal for graduate students studying advanced condensed matter physics.



Strongly Correlated Electron Systems Ii Proceedings Of The Adriatico Conference And Miniworkshop


Strongly Correlated Electron Systems Ii Proceedings Of The Adriatico Conference And Miniworkshop
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Author : G Baskaran
language : en
Publisher: World Scientific
Release Date : 1991-02-28

Strongly Correlated Electron Systems Ii Proceedings Of The Adriatico Conference And Miniworkshop written by G Baskaran and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-02-28 with Science categories.


This is the second in a series of miniworkshops and Adriatico conferences devoted to the exciting field of strongly correlated electron systems including quantum Hall effect, metal insulator transition, heavy fermions and high Tc superconductivity. In spite of enormous efforts made by physicists worldwide to solve these difficult problems, many important issues are still widely open and this topic remains the most active field in condensed matter physics. The review talks and reports on original research given by the experts in the field represent a state-of-the-art summary of this fast-moving field.