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Relativistic Microscopic Quantum Transport Equation


Relativistic Microscopic Quantum Transport Equation
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Relativistic Microscopic Quantum Transport Equation


Relativistic Microscopic Quantum Transport Equation
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Author : Guangjun Mao
language : en
Publisher:
Release Date : 2006

Relativistic Microscopic Quantum Transport Equation written by Guangjun Mao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.


The violent dynamical expansion of dense matter produced in heavy-ion collisions determines that the microscopic transport theories designed for it should keep the line of time evolution and medium effects, both in the in-medium particle drifting and in-medium particle-particle scatterings. A set of relativistic transport equations for particle distribution functions have thus been developed. Starting from a Lagrangian of baryons interacting through mesons, one computes Feynman diagrams up to the Born term through employing the closed time-path Green's function technique. All the ingredients of equations are derived from the same effective interaction and presented analytically. This book clearly shows how a relativistic Boltzmann equation can be deduced from a given interaction through reckoning Feynman diagrams of quantum field theory. While discussions are concentrated on the topic of relativistic heavy-ion collisions, the introduced method is rather general, and may find it's application in the problems of neutrino transportation of astrophysics and electron transportation of solid-state physics.



Dirac Matter


Dirac Matter
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Author : Bertrand Duplantier
language : en
Publisher: Birkhäuser
Release Date : 2017-01-25

Dirac Matter written by Bertrand Duplantier and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-25 with Science categories.


This fifteenth volume of the Poincare Seminar Series, Dirac Matter, describes the surprising resurgence, as a low-energy effective theory of conducting electrons in many condensed matter systems, including graphene and topological insulators, of the famous equation originally invented by P.A.M. Dirac for relativistic quantum mechanics. In five highly pedagogical articles, as befits their origin in lectures to a broad scientific audience, this book explains why Dirac matters. Highlights include the detailed "Graphene and Relativistic Quantum Physics", written by the experimental pioneer, Philip Kim, and devoted to graphene, a form of carbon crystallized in a two-dimensional hexagonal lattice, from its discovery in 2004-2005 by the future Nobel prize winners Kostya Novoselov and Andre Geim to the so-called relativistic quantum Hall effect; the review entitled "Dirac Fermions in Condensed Matter and Beyond", written by two prominent theoreticians, Mark Goerbig and Gilles Montambaux, who consider many other materials than graphene, collectively known as "Dirac matter", and offer a thorough description of the merging transition of Dirac cones that occurs in the energy spectrum, in various experiments involving stretching of the microscopic hexagonal lattice; the third contribution, entitled "Quantum Transport in Graphene: Impurity Scattering as a Probe of the Dirac Spectrum", given by Hélène Bouchiat, a leading experimentalist in mesoscopic physics, with Sophie Guéron and Chuan Li, shows how measuring electrical transport, in particular magneto-transport in real graphene devices - contaminated by impurities and hence exhibiting a diffusive regime - allows one to deeply probe the Dirac nature of electrons. The last two contributions focus on topological insulators; in the authoritative "Experimental Signatures of Topological Insulators", Laurent Lévy reviews recent experimental progress in the physics of mercury-telluride samples under strain, which demonstrates that the surface of a three-dimensional topological insulator hosts a two-dimensional massless Dirac metal; the illuminating final contribution by David Carpentier, entitled "Topology of Bands in Solids: From Insulators to Dirac Matter", provides a geometric description of Bloch wave functions in terms of Berry phases and parallel transport, and of their topological classification in terms of invariants such as Chern numbers, and ends with a perspective on three-dimensional semi-metals as described by the Weyl equation. This book will be of broad general interest to physicists, mathematicians, and historians of science.



Unified Non Local Relativistic Theory Of Transport Processes


Unified Non Local Relativistic Theory Of Transport Processes
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Author : Boris V. Alexeev
language : en
Publisher: Elsevier
Release Date : 2016-08-21

Unified Non Local Relativistic Theory Of Transport Processes written by Boris V. Alexeev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-21 with Science categories.


Unified Non-Local Relativistic Theory of Transport Processes highlights the most significant features of non-local relativistic theory, which is a highly effective tool for solving many physical problems in areas where the classical local theory runs into difficulties. The book provides the fundamental science behind new non-local physics – generalized for relativistic cases and applied in a range of scales – from transport phenomena in massless physical systems to unified theory of dissipative structures. The book complements the author’s previous monograph on Unified Non-Local Theory of Transport Processes (Elsevier, 2015), which is mainly devoted to non-relativistic non-local physics. Nevertheless, the theory as handled in this new work is outlined independently so the book can be studied on its own. Comprehensive collection of non-local relativistic theory with examples that could previously only be found scattered in the literature Provides applications in quantum non-local relativistic hydrodynamics, quantum solitons in solid matter, and plasmas Uses generalized non-local kinetic theory as a highly effective tool for solving many physical problems beyond classical physics Presents non-local relativistic physics in many related problems of hydrodynamics, gravity, nonlinear optics, time quantization, and applied mathematics Includes concrete mathematical problems that are physically consistent and can be solved and studied both analytically and numerically



Quantum Transport In Submicron Devices


Quantum Transport In Submicron Devices
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Author : Wim Magnus
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-06-12

Quantum Transport In Submicron Devices written by Wim Magnus 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 2002-06-12 with Technology & Engineering categories.


The aim of this book is to resolve the problem of electron and hole transport with a coherent and consistent theory that is relevant to the understanding of transport phenomena in submicron devices. Along the road, readers encounter landmarks in theoretical physics as the authors guide them through the strong and weak aspects of various hypotheses.



The Relativistic Boltzmann Equation Theory And Applications


The Relativistic Boltzmann Equation Theory And Applications
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Author : Carlo Cercignani
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

The Relativistic Boltzmann Equation Theory And Applications written by Carlo Cercignani and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.



Quantum Transport In Mesoscopic Systems


Quantum Transport In Mesoscopic Systems
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Author : David Sánchez
language : en
Publisher: MDPI
Release Date : 2021-01-06

Quantum Transport In Mesoscopic Systems written by David Sánchez and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-06 with Mathematics categories.


Mesoscopic physics deals with systems larger than single atoms but small enough to retain their quantum properties. The possibility to create and manipulate conductors of the nanometer scale has given birth to a set of phenomena that have revolutionized physics: quantum Hall effects, persistent currents, weak localization, Coulomb blockade, etc. This Special Issue tackles the latest developments in the field. Contributors discuss time-dependent transport, quantum pumping, nanoscale heat engines and motors, molecular junctions, electron–electron correlations in confined systems, quantum thermo-electrics and current fluctuations. The works included herein represent an up-to-date account of exciting research with a broad impact in both fundamental and applied topics.



Quantum Transport


Quantum Transport
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Author : Gregoire Allaire
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-13

Quantum Transport written by Gregoire Allaire 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 2008-08-13 with Mathematics categories.


In this volume, a result of The CIME Summer School held in Cetraro, Italy, in 2006, four leading specialists present different aspects of quantum transport modeling. It provides an excellent basis for researchers in this field.



Relativistic Quantum Mechanics Of Electrons


Relativistic Quantum Mechanics Of Electrons
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Author : Tara P. Das
language : en
Publisher: HarperCollins Publishers
Release Date : 1973

Relativistic Quantum Mechanics Of Electrons written by Tara P. Das and has been published by HarperCollins Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.




Quantum Transport Equation For Electric And Magnetic Fields


Quantum Transport Equation For Electric And Magnetic Fields
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Author : Gerald D. Mahan
language : en
Publisher:
Release Date : 1987

Quantum Transport Equation For Electric And Magnetic Fields written by Gerald D. Mahan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.




Quantum Kinetics In Transport And Optics Of Semiconductors


Quantum Kinetics In Transport And Optics Of Semiconductors
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Author : Hartmut Haug
language : en
Publisher: Springer
Release Date : 1996

Quantum Kinetics In Transport And Optics Of Semiconductors written by Hartmut Haug and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.


This monograph deals with the quantum kinetics for transport in low-dimensional microstructures and for ultrashort laser pulse spectroscopy. The nonequilibrium Green function theory is described and used for the derivation of the quantum kinetic equations, while numerical methods for the solution of the retarded quantum kinetic equations are discussed and results presented for quantum high-field and mesoscopic transport phenomena. Additionally, quantum beats, polarisation decay and non-Markovian behaviour are treated for femtosecond spectroscopy on a microscopic basis.