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Author: Pavel Exner Publisher: Springer ISBN: 3319185764 Category : Science Languages : en Pages : 398
Book Description
This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty-five years of research activity in this area and indicates ways in which the theory can develop further. The book is fairly self-contained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field.
Author: Pavel Exner Publisher: Springer ISBN: 3319185764 Category : Science Languages : en Pages : 398
Book Description
This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty-five years of research activity in this area and indicates ways in which the theory can develop further. The book is fairly self-contained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field.
Author: Jian-Bai Xia Publisher: CRC Press ISBN: 9814669865 Category : Science Languages : en Pages : 407
Book Description
Moore's Law predicts that the degree of microprocessor integration of circuits would double every 18 months in DRAM. Although the scaling of microelectronic circuit elements still follows Moore's Law, the unit density of power consumption becomes unacceptable. Therefore, on one hand, people develop continuously the microelectronic technology. On the other, people consider the developing road after Moore's rule is broken. This book introduces theories and experiments of quantum transport and intends to provide foundations of semiconductor micro- and nano electronics for after the Moore age.
Author: Jian-Bai Xia Publisher: CRC Press ISBN: 1315341115 Category : Science Languages : en Pages : 493
Book Description
Moore's Law predicts that the degree of microprocessor integration of circuits would double every 18 months in DRAM. Although the scaling of microelectronic circuit elements still follows Moore's Law, the unit density of power consumption becomes unacceptable. Therefore, on one hand, people develop continuously the microelectronic technology. On the other, people consider the developing road after Moore's rule is broken. This book introduces theories and experiments of quantum transport and intends to provide foundations of semiconductor micro- and nano electronics for after the Moore age.
Author: J. Timothy Londergan Publisher: Springer Science & Business Media ISBN: 3540666842 Category : Science Languages : en Pages : 224
Book Description
This monograph is accessible to anyone with an undergraduate background in quantum mechanics, electromagnetism and some solid state physics. It describes in detail the properties of particles and fields in quasi-two-dimensional systems used to approximate realistic quantum heterostructures. Here the authors treat wires, i.e. they assume an infinite hard-wall potential for the system. They discuss bound states, the properties of transmission and reflection, conductance, etc. It is shown that the simple models developed in this book in detail are capable of understanding even complex physical phenomena. The methods are applied to optical states in photonic crystals, and similarities and differences between those and electronic states in quantum heterostructures and electromagnetic fields in waveguides are discussed.
Author: N.E. Hurt Publisher: Springer Science & Business Media ISBN: 9401596263 Category : Science Languages : en Pages : 318
Book Description
This monograph on quantum wires and quantum devices is a companion vol ume to the author's Quantum Chaos and Mesoscopic Systems (Kluwer, Dordrecht, 1997). The goal of this work is to present to the reader the mathematical physics which has arisen in the study of these systems. The course which I have taken in this volume is to juxtapose the current work on the mathematical physics of quantum devices and the details behind the work so that the reader can gain an understanding of the physics, and where possible the open problems which re main in the development of a complete mathematical description of the devices. I have attempted to include sufficient background and references so that the reader can understand the limitations of the current methods and have direction to the original material for the research on the physics of these devices. As in the earlier volume, the monograph is a panoramic survey of the mathe matical physics of quantum wires and devices. Detailed proofs are kept to a min imum, with outlines of the principal steps and references to the primary sources as required. The survey is very broad to give a general development to a variety of problems in quantum devices, not a specialty volume.
Author: L. Ramdas Ram-Mohan Publisher: OUP Oxford ISBN: 9780198525226 Category : Mathematics Languages : en Pages : 628
Book Description
This book introduces the finite element and boundary element methods for applications to quantum mechanical methods. It should be useful to graduate students and researchers in basic quantum theory, quantum semiconductor modeling and chemistry.
Author: Jaroslav Dittrich Publisher: Birkhäuser ISBN: 3034887450 Category : Science Languages : en Pages : 387
Book Description
This book constitutes the proceedings of the QMath 7 Conference on Mathematical Results in Quantum Mechanics held in Prague, Czech Republic in June, 1998. The volume addresses mathematicians and physicists interested in contemporary quantum physics and associated mathematical questions, presenting new results on Schrödinger and Pauli operators with regular, fractal or random potentials, scattering theory, adiabatic analysis, and interesting new physical systems such as photonic crystals, quantum dots and wires.
Author: David K. Ferry Publisher: Springer Science & Business Media ISBN: 1461519675 Category : Science Languages : en Pages : 542
Book Description
The operation of semiconductor devices depends upon the use of electrical potential barriers (such as gate depletion) in controlling the carrier densities (electrons and holes) and their transport. Although a successful device design is quite complicated and involves many aspects, the device engineering is mostly to devise a "best" device design by defIning optimal device structures and manipulating impurity profIles to obtain optimal control of the carrier flow through the device. This becomes increasingly diffIcult as the device scale becomes smaller and smaller. Since the introduction of integrated circuits, the number of individual transistors on a single chip has doubled approximately every three years. As the number of devices has grown, the critical dimension of the smallest feature, such as a gate length (which is related to the transport length defIning the channel), has consequently declined. The reduction of this design rule proceeds approximately by a factor of 1. 4 each generation, which means we will be using 0. 1-0. 15 ). lm rules for the 4 Gb chips a decade from now. If we continue this extrapolation, current technology will require 30 nm design rules, and a cell 3 2 size
Author: Jirí Blank Publisher: Springer Science & Business Media ISBN: 1402088701 Category : Science Languages : en Pages : 677
Book Description
The new edition of this book detailing the theory of linear-Hilbert space operators and their use in quantum physics contains two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography contains 130 new items.
Author: Lev Baskin Publisher: Springer Nature ISBN: 3030664562 Category : Technology & Engineering Languages : en Pages : 334
Book Description
This book studies electron resonant tunneling in two- and three-dimensional quantum waveguides of variable cross-sections in the time-independent approach. Mathematical models are suggested for the resonant tunneling and develop asymptotic and numerical approaches for investigating the models. Also, schemes are presented for several electronics devices based on the phenomenon of resonant tunneling. Compared to its first edition, this book includes four new chapters, redistributes the content between chapters and modifies the estimates of the remainders in the asymptotics of resonant tunneling characteristics. The book is addressed to mathematicians, physicists, and engineers interested in waveguide theory and its applications in electronics.
Author: Pavel Exner
Author: Pavel Exner
Author: Jian-Bai Xia
Author: Jian-Bai Xia
Author: J. Timothy Londergan
Author: N.E. Hurt
Author: L. Ramdas Ram-Mohan
Author: Jaroslav Dittrich
Author: David K. Ferry
Author: Jirí Blank
Author: Lev Baskin