Bosonization

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Bosonization

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Author : Michael Stone (Ph. D.)
language : en
Publisher: World Scientific
Release Date : 1994

Bosonization written by Michael Stone (Ph. D.) and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.

Bosonization is a useful technique for studying systems of interacting fermions in low dimensions. It has applications in both particle and condensed matter physics.This book contains reprints of papers on the method as used in these fields. The papers range from the classic work of Tomonaga in the 1950's on one-dimensional electron gases, through the discovery of fermionic solitons in the 1970's, to integrable systems and bosonization on Riemann surfaces. A four-chapter pedagogical introduction by the editor should make the book accessible to graduate students and experienced researchers alike.

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.

Bosonization And Strongly Correlated Systems

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Author : Alexander O. Gogolin
language : en
Publisher: Cambridge University Press
Release Date : 2004-12-16

Bosonization And Strongly Correlated Systems written by Alexander O. Gogolin 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 2004-12-16 with Science categories.

Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.

Self Consistent Quantum Field Theory And Bosonization For Strongly Correlated Electron Systems

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Author : Rudolf Haussmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01

Self Consistent Quantum Field Theory And Bosonization For Strongly Correlated Electron Systems written by Rudolf Haussmann 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.

This research monograph offers an introduction to advanced quantum field theoretical techniques for many-particle systems beyond perturbation theory. Several schemes for resummation of the Feynman diagrams are described. The resulting approximations are especially well suited for strongly correlated fermion and boson systems. Also considered is the crossover from BCS superconductivity to Bose--Einstein condensation in fermion systems with strong attractive interaction. In particular, a field theoretic formulation of "bosonization" is presented; it is published here for the first time. This method is applied to the fractional quantum Hall effect, to the Coulomb plasma, and to several exactly solvable models.

Bosonization

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Author : Michael Stone
language : en
Publisher: World Scientific
Release Date : 1994-12-23

Bosonization written by Michael Stone and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-23 with Science categories.

Quantum Phase Transitions

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Author : Subir Sachdev
language : en
Publisher: Cambridge University Press
Release Date : 2001-04-23

Quantum Phase Transitions written by Subir Sachdev 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 2001-04-23 with Mathematics categories.

Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics.

Non Perturbative Field Theory

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Author : Yitzhak Frishman
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-27

Non Perturbative Field Theory written by Yitzhak Frishman 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 2023-07-27 with Science categories.

Pedagogical exposition providing a new perspective on relativistic quantum field theory for graduate students and researchers.

Frontiers In Quantum Information Research

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Author : Mikio Nakahara
language : en
Publisher: World Scientific
Release Date : 2012

Frontiers In Quantum Information Research written by Mikio Nakahara and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.

This book is a collection of lecture notes/contributions from a summer school on decoherence, entanglement & entropy and a workshop on MPS (matrix product states) & DMRG (density matrix renormalization group). Subjects of the summer school include introduction to MPS, black holes, qubits and octonions, weak measurement, entanglement measures and separability, generalized Bell inequalities, among others. Subjects of the workshop are dedicated to MPS and DMRG. Applications to strongly correlated systems and integrable systems are also mentioned. Contributions to this book are prepared in a self-contained manner so that a reader with a modest background in quantum information and quantum computing may understand the subjects.

35 Years Of Condensed Matter And Related Physics

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Author : Raymond L. Orbach Symposium 1995, University of California, Riverside
language : en
Publisher: World Scientific
Release Date : 1996

35 Years Of Condensed Matter And Related Physics written by Raymond L. Orbach Symposium 1995, University of California, Riverside 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 with Condensed matter 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.

Theoretical Methods For Strongly Correlated Electrons

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Author : David Sénéchal
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-09

Theoretical Methods For Strongly Correlated Electrons written by David Sénéchal 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 2006-05-09 with Science categories.

Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type - i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions.

Bosonization

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