Scattering Theory For Transport Phenomena

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Scattering Theory For Transport Phenomena
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Author : Hassan Emamirad
language : en
Publisher: Springer Nature
Release Date : 2021-06-27
Scattering Theory For Transport Phenomena written by Hassan Emamirad and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-27 with Science categories.
The scattering theory for transport phenomena was initiated by P. Lax and R. Phillips in 1967. Since then, great progress has been made in the field and the work has been ongoing for more than half a century. This book shows part of that progress. The book is divided into 7 chapters, the first of which deals with preliminaries of the theory of semigroups and C*-algebra, different types of semigroups, Schatten–von Neuman classes of operators, and facts about ultraweak operator topology, with examples using wavelet theory. Chapter 2 goes into abstract scattering theory in a general Banach space. The wave and scattering operators and their basic properties are defined. Some abstract methods such as smooth perturbation and the limiting absorption principle are also presented. Chapter 3 is devoted to the transport or linearized Boltzmann equation, and in Chapter 4 the Lax and Phillips formalism is introduced in scattering theory for the transport equation. In their seminal book, Lax and Phillips introduced the incoming and outgoing subspaces, which verify their representation theorem for a dissipative hyperbolic system initially and also matches for the transport problem. By means of these subspaces, the Lax and Phillips semigroup is defined and it is proved that this semigroup is eventually compact, hence hyperbolic. Balanced equations give rise to two transport equations, one of which can satisfy an advection equation and one of which will be nonautonomous. For generating, the Howland semigroup and Howland’s formalism must be used, as shown in Chapter 5. Chapter 6 is the highlight of the book, in which it is explained how the scattering operator for the transport problem by using the albedo operator can lead to recovery of the functionality of computerized tomography in medical science. The final chapter introduces the Wigner function, which connects the Schrödinger equation to statistical physics and the Husimi distribution function. Here, the relationship between the Wigner function and the quantum dynamical semigroup (QDS) can be seen.
Electron Transport Phenomena In Semiconductors
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Author : B. M. Askerov
language : en
Publisher: World Scientific
Release Date : 1994
Electron Transport Phenomena In Semiconductors written by B. M. Askerov 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 Technology & Engineering categories.
This book contains the first systematic and detailed exposition of the linear theory of the stationary electron transport phenomena in semiconductors. Arbitrary isotropic and anisotropic nonparabolic bands as well as p-Ge-type bands are considered. Phonon drag effect are taken account of in an arbitrary nonquantizing magnetic field. Scattering theory is discussed in detail with account taken of the Bloch wave functions effect. Transport phenomena in the quantizing magnetic field are studied as well as the size effects in thin films. Band structures of the semiconductors and semiconductor compounds of interest are also considered.The main part of the book deals with the three important problems: charge carrier statistics in a semiconductor, classical and quantum theory of the electron transport phenomena. All the theoretical results considered as well as the validity conditions are presented in the form which may be directly used to interpret experimental data.
Electrons And Phonons
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Author : J.M. Ziman
language : en
Publisher: Oxford University Press
Release Date : 2001-02
Electrons And Phonons written by J.M. Ziman and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02 with Science categories.
This is a classic text of its time in condensed matter physics.
Principles Of Scattering And Transport Of Light
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Author : Rémi Carminati
language : en
Publisher: Cambridge University Press
Release Date : 2021-07-29
Principles Of Scattering And Transport Of Light written by Rémi Carminati 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 2021-07-29 with Science categories.
A systematic and accessible treatment of light scattering and transport in disordered media from first principles.
Carrier Scattering In Metals And Semiconductors
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Author : V.F. Gantmakher
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Carrier Scattering In Metals And Semiconductors written by V.F. Gantmakher and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
The transport properties of solids, as well as the many optical phenomena in them are determined by the scattering of current carriers. ``Carrier Scattering in Metals and Semiconductors'' elucidates the state of the art in the research on the scattering mechanisms for current carriers in metals and semiconductors and describes experiments in which these mechanisms are most dramatically manifested.The selection and organization of the material is in a form to prepare the reader to reason independently and to deal just as independently with available theoretical results and experimental data. The subjects dealt with include: - electronic transport theory based on the test-particle and correlation-function concepts; - scattering by phonons, impurities, surfaces, magnons, dislocations, electron-electron scattering and electron temperature; - two-phonon scattering, spin-flip scattering, scattering in degenerate and many-band models.
Nbs Special Publication
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Author :
language : en
Publisher:
Release Date : 1978
Nbs Special Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Weights and measures categories.
Semiconductor Optics And Transport Phenomena
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Author : Wilfried Schäfer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Semiconductor Optics And Transport Phenomena written by Wilfried Schäfer 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 2013-06-29 with Science categories.
Whenever a physicist visits the physics faculty in Dortmund, he/she is bound to hear the success story of the so-called integrated course, a four-semester introduction to physics. These lectures are given by two professors simulta neously, one experimentalist and one theorist. After having asked the common question, "How many professors have killed each other?", the visitor usually realizes that this is an excellent way of presenting a coherent introductiorl to both experimental and theoretical physics. We decided to try this concept in an advanced course on semiconductor physics. At that point the typical student has already had an introductory course in solid-state physics and solid-state theory. The aim of the lectures was to repeat some of the most important, well-known classics of semiconductor optics and transport and eventually guide the students to topics of current interest in research. When preparing the lectures, we did not find a textbook addressing all these aspects: experiment and theory in semiconductor optics and transport- which made us write this book. This book presents the phenomenology and a simple, in tuitive understanding of many effects and, in addition, attempts to explain the underlying physics on a consistent theoretical footing. Calculations are presented such that a student should be able to follow them with a pencil and a piece of paper.
The Physics Of Semiconductors
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Author : Marius Grundmann
language : en
Publisher: Springer
Release Date : 2022-03-21
The Physics Of Semiconductors written by Marius Grundmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-21 with Technology & Engineering categories.
The 4th edition of this highly successful textbook features copious material for a complete upper-level undergraduate or graduate course, guiding readers to the point where they can choose a specialized topic and begin supervised research. The textbook provides an integrated approach beginning from the essential principles of solid-state and semiconductor physics to their use in various classic and modern semiconductor devices for applications in electronics and photonics. The text highlights many practical aspects of semiconductors: alloys, strain, heterostructures, nanostructures, amorphous semiconductors, and noise, which are essential aspects of modern semiconductor research but often omitted in other textbooks. This textbook also covers advanced topics, such as Bragg mirrors, resonators, polarized and magnetic semiconductors, nanowires, quantum dots, multi-junction solar cells, thin film transistors, and transparent conductive oxides. The 4th edition includes many updates and chapters on 2D materials and aspects of topology. The text derives explicit formulas for many results to facilitate a better understanding of the topics. Having evolved from a highly regarded two-semester course on the topic, The Physics of Semiconductors requires little or no prior knowledge of solid-state physics. More than 2100 references guide the reader to historic and current literature including original papers, review articles and topical books, providing a go-to point of reference for experienced researchers as well.
Publications Of The National Institute Of Standards And Technology Catalog
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Author : National Institute of Standards and Technology (U.S.)
language : en
Publisher:
Release Date : 1970
Publications Of The National Institute Of Standards And Technology Catalog written by National Institute of Standards and Technology (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Publications Of The National Bureau Of Standards
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Author : United States. National Bureau of Standards
language : en
Publisher:
Release Date : 1982
Publications Of The National Bureau Of Standards written by United States. National Bureau of Standards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Government publications categories.