Quantum Theory Of Tunneling
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Quantum Theory Of Tunneling
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Author : Mohsen Razavy
language : en
Publisher: World Scientific
Release Date : 2003
Quantum Theory Of Tunneling written by Mohsen Razavy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
This book provides a comprehensive introduction to the theoretical foundations of quantum tunneling, stressing the basic physics underlying the applications. The topics addressed include exponential and nonexponential decay processes and the application of scattering theory to tunneling problems. In addition to the Schrdinger equation approach, the path integral, Heisenberg's equations and the phase space method are all used to study the motion of a particle under the barrier. Extensions to the multidimensional cases and tunneling of particles with internal degrees of freedom are also considered. Furthermore, recent advances concerning time delay and tunneling times and some of the problems associated with their measurement are also discussed. Finally, some examples of tunneling in atomic, molecular, nuclear and condensed matter physics are presented.
Quantum Theory Of Tunneling
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Author : Mohsen Razavy
language : en
Publisher: World Scientific
Release Date : 2013-12-17
Quantum Theory Of Tunneling written by Mohsen Razavy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-17 with Science categories.
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
Dynamical Tunneling
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Author : Srihari Keshavamurthy
language : en
Publisher: CRC Press
Release Date : 2011-03-09
Dynamical Tunneling written by Srihari Keshavamurthy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-09 with Science categories.
A prominent aspect of quantum theory, tunneling arises in a variety of contexts across several fields of study, including nuclear, atomic, molecular, and optical physics and has led to technologically relevant applications in mesoscopic science. Exploring mechanisms and consequences, Dynamical Tunneling: Theory and Experiment presents the work of international experts who discuss the considerable progress that has been achieved in this arena in the past two decades. Highlights in this volume include: A historical introduction and overview of dynamical tunneling, with case histories ranging from simple and emblematic to complex and involving experimental counterparts An emphasis on the semiclassical theory of tunneling put forth by various research groups using different approaches Developments in tunneling with cold atoms and molecular manifestations Advances in our ability to perform delicate and precise experiments in atomic systems The visualization and control of photonic tunneling The role of dynamical tunneling on energy flow and localization in large molecules In the near future, complex tunneling processes occurring in few and many-body systems will be able to be predicted, understood, and controlled. Comprising all relevant topics and authors in the context of present-day research on dynamical tunneling, this self-contained volume provides readers with the basis for further discovery into the potential of this powerful phenomenon.
Quantum Mechanical Tunnelling And Its Applications
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Author : D Roy
language : en
Publisher: World Scientific
Release Date : 1986-12-01
Quantum Mechanical Tunnelling And Its Applications written by D Roy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-01 with Tunneling (Physics) categories.
This book presents a new approach to quantum mechanical tunnelling and its applications to various fields of physics. The conventional concepts of this phenomenon, which are based on a time-dependent or time-independent approach, are inadequate in providing explanations for 1) the limit of resolution of field-emission microscope, 2) the Esaki-Integral representation the tunnelling I-V characteristics of tunnel diodes, 3) the Josephson effect, 4) the tunnelling time, etc. The new theory presented here not only provides adequate explanation for all the above-mentioned effects but also gives an accurate expression for tunnelling current density which predicts results closer to the experimentally observed values. The new presentation also provides a more comprehensive description of the results obtained using older treatment. Contents:Quantum Mechanical Tunnelling:Conventional Formulations of the Tunnelling ProblemInadequacies of Conventional Tunnelling FormulationsA Recent Application of TunnellingThe New Tunnelling Theory:The Barrier Hamiltonian and the Wave FunctionThe Tunnelling Probability and Tunnelling TimeThe Tunnelling Current DensityThe Theory of Indirect TunnellingTunnelling in Rectangular Barrier Systems:Metal-Insulator-Metal (MIM) JunctionMetal-Insulator-Semiconductor (MIS) JunctionMetal-Insulator-Semiconductor Switch (MISS)Normal Metal-Insulator-Superconductor (NIS) JunctionSuperconductor-Insulator-Superconductor (S1-I-S2) JunctionJosephson EffectThe Semiconductor HeterostructuresTunnelling in Triangular Barrier Systems:Metal-Vacuum BoundaryMetal-Semiconductor Contact (Schottky Barrier)Semiconductor pn JunctionsSemiconductor HeterojunctionsSuper Schottky Junction Readership: Solid state physicists and device engineers. Keywords:Esaki-Integral Representation;Josephson Effect;Quantum Mechanical Tunnelling;Tunnelling Theory;Rectangular Barrier Systems;Triangular Barrier SystemsReview: “This text will become an eyeopener to most of the teachers, mainly to those in universities, in understanding the essential contribution of the new tunnel effect and in explaining it so as to be clearly appreciated by the average student.” B S V Gopalam Indian Journal of Pure & Applied Physics, 1987
Quantum Tunneling And Field Electron Emission Theories
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Author : Shi-Dong Liang
language : en
Publisher: World Scientific
Release Date : 2014
Quantum Tunneling And Field Electron Emission Theories written by Shi-Dong Liang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.
Quantum tunneling is an essential issue in quantum physics. Especially, the rapid development of nanotechnology in recent years promises a lot of applications in condensed matter physics, surface science and nanodevices, which are growing interests in fundamental issues, computational techniques and potential applications of quantum tunneling. The book involves two relevant topics. One is quantum tunneling theory in condensed matter physics, including the basic concepts and methods, especially for recent developments in mesoscopic physics and computational formulation. The second part is the field electron emission theory, which covers the basic field emission concepts, the Fowler Nordheim theory, and recent developments of the field emission theory especially in some fundamental concepts and computational formulation, such as quantum confinement effects, Dirac fermion, Luttinger liquid, carbon nanotubes, coherent emission current, quantum tunneling time problem, spin polarized field electron emission and non-equilibrium Green's function method for field electron emission. This book presents in both academic and pedagogical styles, and is as possible as self-complete to make it suitable for researchers and graduate students in condensed matter physics and vacuum nanoelectronics. Contents: Introduction"Quantum Tunneling Theory: "Quantum Physics and Quantum FormalismBasic Physics of Quantum Scattering and TunnelingWave Function Matching MethodWKB MethodLippmann-Schwinger FormalismNon-Equilibrium Green's Function MethodSpin TunnelingApplications"Field Electron Emission Theory: "IntroductionTheoretical Model and MethodologyFowler-Nordheim TheoryField Emission from SemiconductorsSurface Effects and ResonanceThermionic Emission TheoryTheory of Dynamical Field EmissionTheory of Spin Polarized Field EmissionTheory of Field Electron Emission from NanomaterialsComputer Simulations of Field EmissionThe Empirical Theory of Field EmissionFundamental Physics of Field Electron Emission Readership: Graduate students and researchers in vacuum nanoelectronics and physics. "
Quantum Tunnelling In Condensed Media
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Author : Yu. Kagan
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Quantum Tunnelling In Condensed Media written by Yu. Kagan 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 essays in this book deal with of the problem of quantum tunnelling and related behavior of a microscopic or macroscopic system, which interacts strongly with an "environment" - this being some form of condensed matter. The "system" in question need not be physically distinct from its environment, but could, for example, be one particular degree of freedom on which attention is focussed, as in the case of the Josephson junction studied in several of the papers. This general problem has been studied in many hundreds, if not thousands, of articles in the literature, in contexts as diverse as biophysics and quantum cosmology. The editors have grouped together papers which are representative of the main trends in this area in the last fifteen years or so and sufficiently related in general spirit and terminology that common themes can be discerned. The contributions are primarily theoretical, but the comparison with experiment is discussed wherever possible.
Tunneling And Its Implications Proceedings Of The Adriatico Research Conference
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Author : D Mugnai
language : en
Publisher: World Scientific
Release Date : 1997-04-19
Tunneling And Its Implications Proceedings Of The Adriatico Research Conference written by D Mugnai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-19 with categories.
The motion of a particle undergoing quantum tunneling has long been an open and debated problem in several aspects. One of the most discussed is the determination of the time spent in such processes, but many other features deserve consideration. In this volume, both theoretical and experimental aspects, such as quantum measurement, optical analogy, experimental tests, solid state devices and time scale for anomalies (quantum Zeno effect and superluminal evanescence), are explored.
Quantum Tunneling In Complex Systems
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Author : Joachim Ankerhold
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-15
Quantum Tunneling In Complex Systems written by Joachim Ankerhold 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 2007-02-15 with Science categories.
In the last two decades remarkable progress has been made in understanding and describing tunneling processes in complex systems in terms of classical trajectories. This book introduces recent concepts and achievements with particular emphasis on a dynamical formulation and relations to specific systems in mesoscopic, molecular, and atomic physics. Advanced instanton techniques, e.g. for decay rates and tunnel splittings, are discussed in the first part. The second part covers current developments for wave-packet tunneling in real-time, and the third part describes thermodynamics and dynamical approaches for barrier transmission in statistical, particularly dissipative systems.
University Physics
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Author : Samuel J. Ling
language : en
Publisher:
Release Date : 2016-09-29
University Physics written by Samuel J. Ling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-29 with Mechanics categories.
"University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. This textbook emphasizes connections between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result."--Open Textbook Library.
Quantum Physics For Beginners
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Author : Richard J. Schrödinger
language : en
Publisher: Richard J. Schrödinger
Release Date :
Quantum Physics For Beginners written by Richard J. Schrödinger and has been published by Richard J. Schrödinger this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.
Is it possible for two objects to be in two places at once? Can cause and effect happen in reverse? Are you curious about the physics of baseball? Is time travel possible? Believe it or not, it is possible: welcome to the Quantum World! Unlike other arguments, however, the real difficulty is not in understanding, but in accepting something completely senseless, precisely in the right meaning of the term: not sensible, that is, contrary to the perception of our senses. You will notice that quantum mechanics is much "easier" than the theory of relativity. In fact, you could get a child to help you digest certain concepts. The great difficulty does not lie in their complexity, but their absurdity in terms of logic acquired after many years of existence in a world that constantly follows certain rules. The more the brain is free of preconceptions and ingrained notions, the better it is. ★★★In this book you will learn:★★★ What the interference is; How many dimensions the Universe has; Quantum wave function; What Particles of Light are. The relation between waves and particles; The Heisenberg Uncertainty Principle; How particles can be in multiple places at once; Quantum entanglement; introduction to classical mechanics; black holes; …and much more! Quantum Physics for Beginners is at the basis of all the technological innovations of today, from atomic energy to computer microelectronics, from digital clocks to lasers, semiconductor systems, photoelectric cells, diagnostic and treatment equipment for many diseases. In short, today we can live in a "modern" way thanks to Quantum Physics and its applications. This short but comprehensive beginner’s guide to quantum mechanics explains the most important and stunning quantum experiments that show quantum physics is real. If you are a physic beginner looking for astrophysics books or books that can explain Physics in a way understandable also for kids, then this book is perfect for you! Are you ready? Let’s dive into the fascinating science of Quantum Physics by scrolling up the page and pressing the “Buy Now” button!