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Wkb Method In Nanostructure Physics Of A Quantum Well Adjacent To A Tunnel Barrier Of General Shape
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Book Synopsis WKB METHOD IN NANOSTRUCTURE PHYSICS OF A QUANTUM WELL ADJACENT TO A TUNNEL BARRIER OF GENERAL SHAPE by : Sujaul Chowdhury
Download or read book WKB METHOD IN NANOSTRUCTURE PHYSICS OF A QUANTUM WELL ADJACENT TO A TUNNEL BARRIER OF GENERAL SHAPE written by Sujaul Chowdhury and published by American Academic Press. This book was released on 2015-02-09 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with pure Nanostructure Physics of a Quantum Well (QW) of general shape adjacent to a tunnel barrier of general shape. On the other side of the QW, we have a barrier of semi-infinite thickness. Using WKB approximation method, the book presents thorough and complete analytical calculations leading to 2 transcendental equations obeyed by quasi-bound energy levels of the non-isolated QW. The 2 general equations have been applied to the cases when the tunnel barrier is rectangular, moderately biased rectangular, triangular and Schottky barrier. Thorough numerical investigations have been reported to bring out parametric variations of the energy levels. For some values of tunnel barrier height and width, the energy levels split into doublets. The book contains a thorough introduction to WKB method; the book also contains necessary background on Microelectronics and Nanostructure Physics to enable readers assimilate the book completely. The 1st 3 chapters are introductory while chapter 4 and 5 are exclusive and original contributions of the book.
Book Synopsis Nanostructure Physics of non-isolated Quantum Well of symmetric double barrier by : Sujaul Chowdhury
Download or read book Nanostructure Physics of non-isolated Quantum Well of symmetric double barrier written by Sujaul Chowdhury and published by GRIN Verlag. This book was released on 2013-03-20 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master's Thesis from the year 2011 in the subject Physics - Other, Shahjalal University of Science and Technology (Department of Physics), course: Nanostructure Physics, language: English, abstract: The book deals with pure Nanostructure Physics; it contains thorough and complete analytical calculations leading to equation(s) obeyed by quasi-bound energy levels of non-isolated Quantum Well of symmetric rectangular double barrier as well as of symmetric double barrier of general shape. Methodology and Physics involved with the calculations is also clearly described. WKB method has been used in the case of symmetric double barrier of general shape. The book also contains necessary background on Quantum Mechanics, Microelectronics, Nanostructure Physics and WKB method to enable readers assimilate the book completely. The book explores and makes well documented, with thorough and complete calculation and discussion, pure Physics of semiconductor nanostructures.
Book Synopsis Longitudinal Magnetic Field in WKB Method in Nanostructure Physics by : Dr Sujaul Chowdhury
Download or read book Longitudinal Magnetic Field in WKB Method in Nanostructure Physics written by Dr Sujaul Chowdhury and published by GRIN Verlag. This book was released on 2013-08-07 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master's Thesis from the year 2011 in the subject Physics - Quantum Physics, Shahjalal University of Science and Technology (Department of Physics), course: Nanostructure Physics, language: English, abstract: This book contains a comprehensive account of application of WKB method to pure Physics of nanostructures containing single or symmetric double barrier V(x) in their band model in presence of longitudinal magnetic field applied along x direction. It concentrates on effects on transmission coefficient of single and symmetric double barriers by three dimensional electron gas (3DEG). Analytical expressions for longitudinal magnetic field dependent transmission coefficient of single and symmetric double barrier of general shape are obtained first. These general expressions are then used to obtain analytical expressions of longitudinal magnetic field dependent transmission coefficient of single and symmetric double barriers of many different shapes we encounter in studying nanostructure Physics. This is followed by thorough numerical investigation to bring out effects of longitudinal magnetic field on transmission coefficient of all these barriers. Comparisons with standard results where available showed excellent agreements. Results of numerical investigation have been explained completely. The book makes well documented, with thorough calculation and discussion, pure Physics of semiconductor nanostructures.
Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Oscillatory Transmission Through Non-tunneling Regime of Single Rectangular Tunnel Barrier by : Sujaul Chowdhury
Download or read book Oscillatory Transmission Through Non-tunneling Regime of Single Rectangular Tunnel Barrier written by Sujaul Chowdhury and published by . This book was released on 2013 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Tunneling and Field Electron Emission Theories by : Shi-Dong Liang
Download or read book Quantum Tunneling and Field Electron Emission Theories written by Shi-Dong Liang and published by World Scientific Publishing Company Incorporated. This book was released on 2014 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advances in technology has made it possible to fabricate nanoscale emitters. The book presents the conceptual framework of field electron emission from nanoscale emitters, such as nanowires and carbon nanotubes. The book begins with the basic Fowler–Nordheim theory of field electron emission, and then analyzes the basic properties of nanoscale systems as well as explores some fundamental concepts of field electron emission for nanoscale emitters, including the quantum confinement effect, Dirac fermions, Luttinger liquids, coherent emission currents and spin polarized emission currents as well as computer simulation techniques. We also give an outlook for understanding of the nanoscale-emitter field emission. The book will be of great interest to graduate students and researchers interested in vacuum nanoelectronics and mesoscopic physics.
Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus
Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.
Book Synopsis Solid State Properties by : Mildred Dresselhaus
Download or read book Solid State Properties written by Mildred Dresselhaus and published by Springer. This book was released on 2018-01-17 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book fills a gap between many of the basic solid state physics and materials sciencebooks that are currently available. It is written for a mixed audience of electricalengineering and applied physics students who have some knowledge of elementaryundergraduate quantum mechanics and statistical mechanics. This book, based on asuccessful course taught at MIT, is divided pedagogically into three parts: (I) ElectronicStructure, (II) Transport Properties, and (III) Optical Properties. Each topic is explainedin the context of bulk materials and then extended to low-dimensional materials whereapplicable. Problem sets review the content of each chapter to help students to understandthe material described in each of the chapters more deeply and to prepare them to masterthe next chapters.
Book Synopsis Quantum Transport in Nanostructures by : Michael Wimmer
Download or read book Quantum Transport in Nanostructures written by Michael Wimmer and published by . This book was released on 2009 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Theory of Tunneling by : Mohsen Razavy
Download or read book Quantum Theory of Tunneling written by Mohsen Razavy and published by World Scientific. This book was released on 2013-12-17 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this revised and expanded edition, in addition to a comprehensible introduction to the theoretical foundations of quantum tunneling based on different methods of formulating and solving tunneling problems, different semiclassical approximations for multidimensional systems are presented. Particular attention is given to the tunneling of composite systems, with examples taken from molecular tunneling and also from nuclear reactions. The interesting and puzzling features of tunneling times are given extensive coverage, and the possibility of measurement of these times with quantum clocks are critically examined. In addition, by considering the analogy between evanescent waves in waveguides and in quantum tunneling, the times related to electromagnetic wave propagation have been used to explain certain aspects of quantum tunneling times. These topics are treated in both non-relativistic as well as relativistic regimes. Finally, a large number of examples of tunneling in atomic, molecular, condensed matter and nuclear physics are presented and solved. Contents:A Brief History of Quantum TunnelingSome Basic Questions Concerning Quantum TunnelingSimple Solvable ProblemsTime-Dependence of the Wave Function in One-Dimensional TunnelingSemiclassical ApproximationsGeneralization of the Bohr–Sommerfeld Quantization Rule and Its Application to Quantum TunnelingGamow's Theory, Complex Eigenvalues, and the Wave Function of a Decaying StateTunneling in Symmetric and Asymmetric Local Potentials and Tunneling in Nonlocal and Quasi-Solvable BarriersClassical Descriptions of Quantum TunnelingTunneling in Time-Dependent BarriersDecay Width and the Scattering TheoryThe Method of Variable Reflection Amplitude Applied to Solve Multichannel Tunneling ProblemsPath Integral and Its Semi-Classical Approximation in Quantum TunnelingHeisenberg's Equations of Motion for TunnelingWigner Distribution Function in Quantum TunnelingDecay Widths of Siegert States, Complex Scaling and Dilatation TransformationMultidimensional Quantum TunnelingGroup and Signal VelocitiesTime-Delay, Reflection Time Operator and Minimum Tunneling TimeMore About Tunneling TimeTunneling of a System with Internal Degrees of FreedomMotion of a Particle in a Waveguide with Variable Cross Section and in a Space Bounded by a Dumbbell-Shaped ObjectRelativistic Formulation of Quantum TunnelingInverse Problems of Quantum TunnelingSome Examples of Quantum Tunneling in Atomic and Molecular PhysicsSome Examples in Condensed Matter PhysicsAlpha Decay Readership: Graduate students and researchers in theoretical, mathematical, condensed matter and nuclear physics, as well as theoretical chemistry. Keywords:Quantum Tunneling;Quantum Clocks;Electromagnetic Wave Propagation;Semiclassical Approximations
Book Synopsis Single Charge Tunneling by : Hermann Grabert
Download or read book Single Charge Tunneling written by Hermann Grabert and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of single charge tunneling comprises of phenomena where the tunneling of a microscopic charge, usually carried by an electron or a Cooper pair, leads to macro scopically observable effects. The first conference entirely devoted to this new field was the NATO Advanced Study Institute on Single Charge Tunneling held in Les Hauches, France, March 5-15, 1991. This book contains a series of tutorial articles based on lectures presented at the meeting. It was intended to provide both an introduction for nonexperts and a valuable reference summarizing the state of the art of single charge tun neling. A complementary publication with contributions by participants of the NATO Advanced Study Institute is the Special Issue on Single Charge Tunneling of Zeitschrift für Physik B, Vol. 85, pp. 317-468 (1991 ). That issue with original papers provides a snapshot af the leading edge of current research in the field. The success of the meeting and the publicatian of this volume was made possible through the generaus support af the NATO Scientific A:ffairs Division, Brussels, Belgium. The Centre de Physique des Hauches has provided a superbly situated conference site and took care af many lacal arrangements. Both far the preparation of the conference and the handling af some manuscripts the suppart af the Centre d 'Etudes de Saclay was essential. The editing of the proceedings volume would not have been passible without the dedicated efforts of Dr. G. -1. Ingald, who tailared a 1\.
Book Synopsis Solid State Physics by : Giuseppe Grosso
Download or read book Solid State Physics written by Giuseppe Grosso and published by Academic Press. This book was released on 2013-10-17 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid State Physics is a textbook for students of physics, material science, chemistry, and engineering. It is the state-of-the-art presentation of the theoretical foundations and application of the quantum structure of matter and materials. This second edition provides timely coverage of the most important scientific breakthroughs of the last decade (especially in low-dimensional systems and quantum transport). It helps build readers' understanding of the newest advances in condensed matter physics with rigorous yet clear mathematics. Examples are an integral part of the text, carefully designed to apply the fundamental principles illustrated in the text to currently active topics of research. Basic concepts and recent advances in the field are explained in tutorial style and organized in an intuitive manner. The book is a basic reference work for students, researchers, and lecturers in any area of solid-state physics. Features additional material on nanostructures, giving students and lecturers the most significant features of low-dimensional systems, with focus on carbon allotropes Offers detailed explanation of dissipative and nondissipative transport, and explains the essential aspects in a field, which is commonly overlooked in textbooks Additional material in the classical and quantum Hall effect offers further aspects on magnetotransport, with particular emphasis on the current profiles Gives a broad overview of the band structure of solids, as well as presenting the foundations of the electronic band structure. Also features reported with new and revised material, which leads to the latest research
Book Synopsis Electronic Structure of Quantum Confined Atoms and Molecules by : K.D. Sen
Download or read book Electronic Structure of Quantum Confined Atoms and Molecules written by K.D. Sen and published by Springer. This book was released on 2014-09-19 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is a collection of review articles highlighting the fundamental advances made in this area by the internationally acclaimed research groups , most of them being pioneers themselves and coming together for the first time.
Book Synopsis Science and Technology of Mesoscopic Structures by : Susumu Namba
Download or read book Science and Technology of Mesoscopic Structures written by Susumu Namba and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Symposium on the Science and Technology of Mesoscopic Structures was held at Shin-Kohkaido in Nara from November 6-8, 1991. The symposium was sponsored by the International Institute for Advanced Study and partly by Nara Prefecture, Nara City, Nara Convention Bureau, and the Ministry of Education, Science and Culture of Japan, as well as industrial organizations. We would like to acknowledge the support of the symposium by these or ganizations. The scope of the symposium was planned by the organizing committee to cover outstanding contributors in the fields of (1) ballistic transport, (2) electron wave guides and interference effects, (3) quantum confinement effects, (4) tunneling phenomena, (5) optical nonlinearity, and (6) fabrication technology of meso scopic structures. Twenty-six invited speakers were selected from the United States, Europe, and Japan. In addition twenty-four contributed papers were accepted for presentation at the poster session. These papers are included in the proceedings. We are grateful to the organizing committee, Ms. Y oshiko Kusaki of the Inter national Institute for Advanced Study for the secretarial service, and Dr. Nobuya Mori, Osaka University, for his scientific cooperation. Thanks are also due to the authors and the participants for their contributions to a successful symposium.
Book Synopsis Introduction to Nanoscience by : Stuart Lindsay
Download or read book Introduction to Nanoscience written by Stuart Lindsay and published by OUP Oxford. This book was released on 2009-10-22 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanoscience is not physics, chemistry, engineering or biology. It is all of them, and it is time for a text that integrates the disciplines. This is such a text, aimed at advanced undergraduates and beginning graduate students in the sciences. The consequences of smallness and quantum behaviour are well known and described Richard Feynman's visionary essay 'There's Plenty of Room at the Bottom' (which is reproduced in this book). Another, critical, but thus far neglected, aspect of nanoscience is the complexity of nanostructures. Hundreds, thousands or hundreds of thousands of atoms make up systems that are complex enough to show what is fashionably called 'emergent behaviour'. Quite new phenomena arise from rare configurations of the system. Examples are the Kramer's theory of reactions (Chapter 3), the Marcus theory of electron transfer (Chapter 8), and enzyme catalysis, molecular motors, and fluctuations in gene expression and splicing, all covered in the final Chapter on Nanobiology. The book is divided into three parts. Part I (The Basics) is a self-contained introduction to quantum mechanics, statistical mechanics and chemical kinetics, calling on no more than basic college calculus. A conceptual approach and an array of examples and conceptual problems will allow even those without the mathematical tools to grasp much of what is important. Part II (The Tools) covers microscopy, single molecule manipulation and measurement, nanofabrication and self-assembly. Part III (Applications) covers electrons in nanostructures, molecular electronics, nano-materials and nanobiology. Each chapter starts with a survey of the required basics, but ends by making contact with current research literature.
Book Synopsis Semiconductor Superlattices by : H T Grahn
Download or read book Semiconductor Superlattices written by H T Grahn and published by World Scientific. This book was released on 1995-04-17 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys semiconductor superlattices, in particular their growth and electronic properties in an applied electric field perpendicular to the layers. The main developments in this field, which were achieved in the last five to seven years, are summarized. The electronic properties include transport through minibands at low electric field strengths, the Wannier–Stark localization and Bloch oscillations at intermediate electric field strengths, resonant tunneling of electrons and holes between different subbands, and the formation of electric field domains for large carrier densities at high electric field strengths. Contents: Growth and Characterization (K Fujiwara)Miniband Transport (A Sibille)Wannier–Stark Localization and Bloch Oscillations (F Agulló-Rueda & J Feldmann)Resonant Tunneling (H Grahn)Electric Field Domains (H Grahn). Readership: Physicists and materials scientists. keywords:Semiconductor Superlattices;Nanostructures;Fabrication;Miniband Transport;Bloch Oscillations;WannierâStark Localization;Resonant Tunneling;Electric-Field Domains;Non-Linear Transport;Optical Properties
Book Synopsis Electronic Transport in Mesoscopic Systems by : Supriyo Datta
Download or read book Electronic Transport in Mesoscopic Systems written by Supriyo Datta and published by Cambridge University Press. This book was released on 1997-05-15 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in semiconductor technology have made possible the fabrication of structures whose dimensions are much smaller than the mean free path of an electron. This book gives a thorough account of the theory of electronic transport in such mesoscopic systems. After an initial chapter covering fundamental concepts, the transmission function formalism is presented, and used to describe three key topics in mesoscopic physics: the quantum Hall effect; localisation; and double-barrier tunnelling. Other sections include a discussion of optical analogies to mesoscopic phenomena, and the book concludes with a description of the non-equilibrium Green's function formalism and its relation to the transmission formalism. Complete with problems and solutions, the book will be of great interest to graduate students of mesoscopic physics and nanoelectronic device engineering, as well as to established researchers in these fields.
