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Author: D Roy
Publisher: World Scientific
ISBN: 981451361X
Category : Tunneling (Physics)
Languages : en
Pages : 400
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Book Description
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
Author: D Roy
Publisher: World Scientific
ISBN: 981451361X
Category : Tunneling (Physics)
Languages : en
Pages : 400
Get Book
Book Description
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
Author: Hiroki Nakamura
Publisher: CRC Press
ISBN: 1466507322
Category : Science
Languages : en
Pages : 226
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Book Description
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.
Author: OpenStax
Publisher:
ISBN: 9781680920451
Category : Science
Languages : en
Pages : 622
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Book Description
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.
Author: Raymond Chang
Publisher: University Science Books
ISBN: 9781891389337
Category : Science
Languages : en
Pages : 706
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Book Description
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.
Author: Ronald Percy Bell
Publisher: Springer
ISBN: 148992891X
Category : Science
Languages : en
Pages : 231
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Book Description
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.
Author: Mohsen Razavy
Publisher: World Scientific
ISBN: 9789812380197
Category : Science
Languages : en
Pages : 576
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Book Description
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.
Author: J. E. House
Publisher: Academic Press
ISBN: 0128092556
Category : Science
Languages : en
Pages : 372
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Book Description
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
Author: Jean-Louis Basdevant
Publisher: Springer Science & Business Media
ISBN: 3540288058
Category : Science
Languages : en
Pages : 511
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Book Description
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.
Author: David A. B. Miller
Publisher: Cambridge University Press
ISBN: 1139471279
Category : Technology & Engineering
Languages : en
Pages : 575
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Book Description
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.
Author: Anthony Frederic John Levi
Publisher: Allied Publishers
ISBN: 9788177642001
Category : Quantum theory
Languages : en
Pages : 392
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Book Description
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.
