Quantum Mechanical Tunnelling And Its Applications

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Quantum Mechanical Tunnelling and Its Applications

D Roy
Quantum Mechanical Tunnelling and Its Applications Book PDF

Author : D Roy
Publisher : World Scientific
Page : 400 pages
File Size : 44,7 Mb
Release : 1986-12-01
Category : Tunneling (Physics)
ISBN : 9789814513616

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Quantum Mechanical Tunnelling and Its Applications by D Roy Pdf

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

University Physics

OpenStax
University Physics Book PDF

Author : OpenStax
Publisher : Unknown
Page : 622 pages
File Size : 55,8 Mb
Release : 2016-11-04
Category : Science
ISBN : 1680920456

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University Physics by OpenStax Pdf

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. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between 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. The text and images in this textbook are grayscale.

Quantum Mechanical Tunneling in Chemical Physics

Hiroki Nakamura,Gennady Mil'nikov
Quantum Mechanical Tunneling in Chemical Physics Book PDF

Author : Hiroki Nakamura,Gennady Mil'nikov
Publisher : CRC Press
Page : 225 pages
File Size : 42,5 Mb
Release : 2016-04-19
Category : Science
ISBN : 9781466507326

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Quantum Mechanical Tunneling in Chemical Physics by Hiroki Nakamura,Gennady Mil'nikov Pdf

Quantum mechanical tunneling plays important roles in a wide range of natural sciences, from nuclear and solid-state physics to proton transfer and chemical reactions in chemistry and biology. Responding to the need for further understanding of multidimensional tunneling, the authors have recently developed practical methods that can be applied to

Quantum Theory of Tunneling

Mohsen Razavy
Quantum Theory of Tunneling Book PDF

Author : Mohsen Razavy
Publisher : World Scientific
Page : 576 pages
File Size : 46,7 Mb
Release : 2003
Category : Science
ISBN : 9812380191

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Quantum Theory of Tunneling by Mohsen Razavy Pdf

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 Schr”dinger 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.

The Tunnel Effect in Chemistry

Ronald Percy Bell
The Tunnel Effect in Chemistry Book PDF

Author : Ronald Percy Bell
Publisher : Springer
Page : 231 pages
File Size : 51,5 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489928917

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The Tunnel Effect in Chemistry by Ronald Percy Bell Pdf

The suggestion that quantum-mechanical tunnelling might be a significant factor in some chemical reactions was first made fifty years ago by Hund, very soon after the principles of wave mechanics had been established by de Broglie, Schrodinger and Heisenberg, and similar ideas were put forward during the following thirty years by a number of authors. It was realised from the beginning that such effects would be particularly prominent in reactions involving the movement of protons or hydrogen atoms, and both theoretical and experimental work received a powerful stimulus in the discovery of deuterium in 1932. During the last twenty years theoretical predictions about the tunnel effect have been supported by an increasing body of experimental evidence, derived especially from studies of hydrogen isotope effects. The present book presents an attempt to summarize this evidence and to indicate the main lines of the basic theory. Details of mathematical manipu lation are restricted mainly to Chapter 2 and the Appendices, and many readers may prefer to confine themselves to the results obtained. The main emphasis has been on the kinetics of chemical reactions involving the transfer of protons, hydrogen atoms or hydride ions, although Chapter 6 gives an account of the role of the tunnel effect in molecular spectra, and Chapter 7 makes some mention of tunnelling in solid state phenomena, biological processes and the electrolytic discharge of hydrogen. Only passing references have been made to tunnelling by electrons.

Physical Chemistry for the Biosciences

Raymond Chang
Physical Chemistry for the Biosciences Book PDF

Author : Raymond Chang
Publisher : University Science Books
Page : 706 pages
File Size : 49,6 Mb
Release : 2005-02-11
Category : Science
ISBN : 1891389335

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Physical Chemistry for the Biosciences by Raymond Chang Pdf

This book is ideal for use in a one-semester introductory course in physical chemistry for students of life sciences. The author's aim is to emphasize the understanding of physical concepts rather than focus on precise mathematical development or on actual experimental details. Subsequently, only basic skills of differential and integral calculus are required for understanding the equations. The end-of-chapter problems have both physiochemical and biological applications.

Quantum Mechanics for Applied Physics and Engineering

Albert T. Fromhold
Quantum Mechanics for Applied Physics and Engineering Book PDF

Author : Albert T. Fromhold
Publisher : Courier Corporation
Page : 450 pages
File Size : 42,6 Mb
Release : 2012-07-26
Category : Science
ISBN : 9780486164694

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Quantum Mechanics for Applied Physics and Engineering by Albert T. Fromhold Pdf

For upper-level undergraduates and graduate students: an introduction to the fundamentals of quantum mechanics, emphasizing aspects essential to an understanding of solid-state theory. Numerous problems (and selected answers), projects, exercises.

Fundamentals of Quantum Mechanics

J. E. House
Fundamentals of Quantum Mechanics Book PDF

Author : J. E. House
Publisher : Academic Press
Page : 372 pages
File Size : 45,7 Mb
Release : 2017-04-19
Category : Science
ISBN : 9780128092552

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Fundamentals of Quantum Mechanics by J. E. House Pdf

Fundamentals of Quantum Mechanics, Third Edition is a clear and detailed introduction to quantum mechanics and its applications in chemistry and physics. All required math is clearly explained, including intermediate steps in derivations, and concise review of the math is included in the text at appropriate points. Most of the elementary quantum mechanical models—including particles in boxes, rigid rotor, harmonic oscillator, barrier penetration, hydrogen atom—are clearly and completely presented. Applications of these models to selected “real world topics are also included. This new edition includes many new topics such as band theory and heat capacity of solids, spectroscopy of molecules and complexes (including applications to ligand field theory), and small molecules of astrophysical interest. Accessible style and colorful illustrations make the content appropriate for professional researchers and students alike Presents results of quantum mechanical calculations that can be performed with readily available software Provides exceptionally clear discussions of spin-orbit coupling and group theory, and comprehensive coverage of barrier penetration (quantum mechanical tunneling) that touches upon hot topics, such as superconductivity and scanning tunneling microscopy Problems given at the end of each chapter help students to master concepts

Quantum Mechanical Tunneling in Chemical Physics

Hiroki Nakamura,Gennady Mil'nikov
Quantum Mechanical Tunneling in Chemical Physics Book PDF

Author : Hiroki Nakamura,Gennady Mil'nikov
Publisher : CRC Press
Page : 228 pages
File Size : 53,8 Mb
Release : 2013-04-12
Category : Science
ISBN : 9781466507319

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Quantum Mechanical Tunneling in Chemical Physics by Hiroki Nakamura,Gennady Mil'nikov Pdf

Quantum mechanical tunneling plays important roles in a wide range of natural sciences, from nuclear and solid-state physics to proton transfer and chemical reactions in chemistry and biology. Responding to the need for further understanding of multidimensional tunneling, the authors have recently developed practical methods that can be applied to multidimensional systems. Quantum Mechanical Tunneling in Chemical Physics presents basic theories, as well as original ones developed by the authors. It also provides methodologies and numerical applications to real molecular systems. The book offers information so readers can understand the basic concepts and dynamics of multidimensional tunneling phenomena and use the described methods for various molecular spectroscopy and chemical dynamics problems. The text focuses on three tunneling phenomena: (1) energy splitting, or tunneling splitting, in symmetric double well potential, (2) decay of metastable state through tunneling, and (3) tunneling effects in chemical reactions. Incorporating mathematics to explain basic theories, the text requires readers to have graduate-level math to grasp the concepts presented. The book reviews low-dimensional theories and clarifies their insufficiency conceptually and numerically. It also examines the phenomenon of nonadiabatic tunneling, which is common in molecular systems. The book describes applications to real polyatomic molecules, such as vinyl radicals and malonaldehyde, demonstrating the high efficiency and accuracy of the method. It discusses tunneling in chemical reactions, including theories for direct evaluation of reaction rate constants for both electronically adiabatic and nonadiabatic chemical reactions. In the final chapter, the authors touch on future perspectives.

Tunnelling in Molecules

Johannes Kästner,Sebastian Kozuch
Tunnelling in Molecules Book PDF

Author : Johannes Kästner,Sebastian Kozuch
Publisher : Royal Society of Chemistry
Page : 453 pages
File Size : 40,7 Mb
Release : 2020-09-22
Category : Science
ISBN : 9781839160387

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Tunnelling in Molecules by Johannes Kästner,Sebastian Kozuch Pdf

Quantum tunnelling is one of the strangest phenomena in chemistry, where we see the wave nature of atoms acting in “impossible” ways. By letting molecules pass through the kinetic barrier instead of over it, this effect can lead to chemical reactions even close to the absolute zero, to atypical spectroscopic observations, to bizarre selectivity, or to colossal isotopic effects. Quantum mechanical tunnelling observations might be infrequent in chemistry, but it permeates through all its disciplines producing remarkable chemical outcomes. For that reason, the 21st century has seen a great increase in theoretical and experimental findings involving molecular tunnelling effects, as well as in novel techniques that permit their accurate predictions and analysis. Including experimental, computational and theoretical chapters, from the physical and organic to the biochemistry fields, from the applied to the academic arenas, this new book provides a broad and conceptual perspective on tunnelling reactions and how to study them. Quantum Tunnelling in Molecules is the obligatory stop for both the specialist and those new to this world.

Quantum Mechanics for Scientists and Engineers

David A. B. Miller
Quantum Mechanics for Scientists and Engineers Book PDF

Author : David A. B. Miller
Publisher : Cambridge University Press
Page : 575 pages
File Size : 46,7 Mb
Release : 2008-04-21
Category : Technology & Engineering
ISBN : 9781139471275

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Quantum Mechanics for Scientists and Engineers by David A. B. Miller Pdf

If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839.

Quantum Theory of Tunneling

Mohsen Razavy
Quantum Theory of Tunneling Book PDF

Author : Mohsen Razavy
Publisher : World Scientific
Page : 792 pages
File Size : 55,6 Mb
Release : 2013-12-17
Category : Science
ISBN : 9789814525039

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Quantum Theory of Tunneling by Mohsen Razavy Pdf

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

Quantum Mechanics

Jean-Louis Basdevant,Jean Dalibard
Quantum Mechanics Book PDF

Author : Jean-Louis Basdevant,Jean Dalibard
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 55,5 Mb
Release : 2006-05-16
Category : Science
ISBN : 9783540288053

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Quantum Mechanics by Jean-Louis Basdevant,Jean Dalibard Pdf

Gives a fresh and modern approach to the field. It is a textbook on the principles of the theory, its mathematical framework and its first applications. It constantly refers to modern and practical developments, tunneling microscopy, quantum information, Bell inequalities, quantum cryptography, Bose-Einstein condensation and quantum astrophysics. The book also contains 92 exercises with their solutions.

Applied Quantum Mechanics

Anthony Frederic John Levi
Applied Quantum Mechanics Book PDF

Author : Anthony Frederic John Levi
Publisher : Allied Publishers
Page : 392 pages
File Size : 44,5 Mb
Release : 2006
Category : Quantum theory
ISBN : 8177642006

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Applied Quantum Mechanics by Anthony Frederic John Levi Pdf

This updated and expanded edition makes quantum mechanics accessible to electrical engineers, mechanical engineers, materials scientists and applied physicists by using real-world applications and engineering examples. Numerous illustrations, exercises, worked examples and problems are included; Matlab source codes to support the text are available from www.cambridge.org/9780521860963.

Elementary Quantum Mechanics

R. W Gurney
Elementary Quantum Mechanics Book PDF

Author : R. W Gurney
Publisher : Cambridge University Press
Page : 173 pages
File Size : 46,6 Mb
Release : 1934
Category : Science
ISBN : 9781107586352

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Elementary Quantum Mechanics by R. W Gurney Pdf

Originally published in 1934, this reference guide provides introductory and principle knowledge of the theory of quantum mechanics.