Scattering Matrix Approach To Non Stationary Quantum Transport PDF Download
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Author | : Michael V. Moskalets |
Publisher | : World Scientific |
Total Pages | : 297 |
Release | : 2012 |
Genre | : Science |
ISBN | : 1848168357 |
Download Scattering Matrix Approach to Non-stationary Quantum Transport Book in PDF, ePub and Kindle
The aim of this book is to introduce the basic elements of the scattering matrix approach to transport phenomena in dynamical quantum systems of non-interacting electrons. This approach admits a physically clear and transparent description of transport processes in dynamical mesoscopic systems promising basic elements of solid-state devices for quantum information processing. One of the key effects, the quantum pump effect, is considered in detail. In addition, the theory for a recently implemented new dynamical source OCo injecting electrons with time delay much larger than the electron coherence time OCo is offered. This theory provides a simple description of quantum circuits with such a single-particle source and shows in an unambiguous way that the tunability inherent to the dynamical systems leads to a number of unexpected but fundamental effects.
Author | : Michael V. Moskalets |
Publisher | : World Scientific |
Total Pages | : 297 |
Release | : 2012 |
Genre | : Science |
ISBN | : 1848168349 |
Download Scattering Matrix Approach to Non-stationary Quantum Transport Book in PDF, ePub and Kindle
The aim of this book is to introduce the basic elements of the scattering matrix approach to transport phenomena in dynamical quantum systems of non-interacting electrons. This approach permits a physically clear and transparent description of transport processes in dynamical mesoscopic systems, promising basic elements of solid-state devices for quantum information processing. One of the key effects, the quantum pump effect, is considered in detail. In addition, the theory for the recently implemented new dynamical source ? injecting electrons with time delay much larger than an electron coherence time ? is offered. This theory provides a simple description of quantum circuits with such a single-particle source and shows in an unambiguous way that the tunability inherent to the dynamical systems (in contrast to the stationary ones) leads to a number of unexpected but fundamental effects.
Author | : David Oehri |
Publisher | : |
Total Pages | : |
Release | : 2015 |
Genre | : |
ISBN | : |
Download Scattering Matrix Approach to Interacting Electron Transport and Charge Measurements Book in PDF, ePub and Kindle
Author | : A. G. Sitenko |
Publisher | : Elsevier |
Total Pages | : 280 |
Release | : 2013-10-22 |
Genre | : Science |
ISBN | : 1483186822 |
Download Lectures in Scattering Theory Book in PDF, ePub and Kindle
Lectures in Scattering Theory discusses problems in quantum mechanics and the principles of the non-relativistic theory of potential scattering. This book describes in detail the properties of the scattering matrix and its connection with physically observable quantities. This text presents a stationary formulation of the scattering problem and the wave functions of a particle found in an external field. This book also examines the analytic properties of the scattering matrix, dispersion relations, complex angular moments, as well as the separable representation of the scattering amplitude. The text also explains the method of factorizing the potential and the two-particle scattering amplitude, based on the Hilbert-Schmidt theorem for symmetric integral equations. In investigating the problem of scattering in a three-particle system, this book notes that the inapplicability of the Lippman-Schwinger equations can be fixed by appropriately re-arranging the equations. Faddeev equations are the new equations formed after such re-arrangements. This book also cites, as an example, the scattering of a spin-1/2 particle by a spinless particle (such as the scattering of a nucleon by a spinless nucleus). This text is suitable for students and professors dealing with quantum mechanics, theoretical nuclear physics, or other fields of advanced physics.
Author | : Pier A. Mello |
Publisher | : Oxford University Press, USA |
Total Pages | : 418 |
Release | : 2004 |
Genre | : Science |
ISBN | : 0198525826 |
Download Quantum Transport in Mesoscopic Systems Book in PDF, ePub and Kindle
This text presents the statistical theory of wave scattering and quantum transport in complex - chaotic and disordered - systems.
Author | : Kyle A. Novak |
Publisher | : |
Total Pages | : 90 |
Release | : 2006 |
Genre | : |
ISBN | : |
Download A Semiclassical Transport Model for Thin Quantum Barriers Book in PDF, ePub and Kindle
We present a one-dimensional time-dependent semiclassical transport model for mixed state scattering with thin quantum barriers. The idea is to solve a stationary Schrodinger equation in the thin quantum barrier to obtain the scattering coefficients, and then use them to supply the interface condition that connects the two classical domains. We then build in the interface condition to the numerical flux, in the spirit of the Hamiltonian-preserving scheme introduced by Jin and Wen for a classical barrier. The overall cost is roughly the same as solving a classical barrier. We construct a numerical method based on this semiclassical approach and validate the model using various numerical examples.
Author | : Dmitri R. Yafaev |
Publisher | : Springer |
Total Pages | : 185 |
Release | : 2007-05-06 |
Genre | : Mathematics |
ISBN | : 3540451706 |
Download Scattering Theory: Some Old and New Problems Book in PDF, ePub and Kindle
Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, such as asymptotic completeness for the Schrödinger operator with long-range and multiparticle potentials, as well as open problems, are discussed. Potentials for which asymptotic completeness is violated are also constructed. This corresponds to a new class of asymptotic solutions of the time-dependent Schrödinger equation. Special attention is paid to the properties of the scattering matrix, which is the main observable of the theory. The book is addressed to readers interested in a deeper study of the subject.
Author | : Hassan Emamirad |
Publisher | : Springer Nature |
Total Pages | : 179 |
Release | : 2021-06-27 |
Genre | : Science |
ISBN | : 9811623732 |
Download Scattering Theory for Transport Phenomena Book in PDF, ePub and Kindle
The scattering theory for transport phenomena was initiated by P. Lax and R. Phillips in 1967. Since then, great progress has been made in the field and the work has been ongoing for more than half a century. This book shows part of that progress. The book is divided into 7 chapters, the first of which deals with preliminaries of the theory of semigroups and C*-algebra, different types of semigroups, Schatten–von Neuman classes of operators, and facts about ultraweak operator topology, with examples using wavelet theory. Chapter 2 goes into abstract scattering theory in a general Banach space. The wave and scattering operators and their basic properties are defined. Some abstract methods such as smooth perturbation and the limiting absorption principle are also presented. Chapter 3 is devoted to the transport or linearized Boltzmann equation, and in Chapter 4 the Lax and Phillips formalism is introduced in scattering theory for the transport equation. In their seminal book, Lax and Phillips introduced the incoming and outgoing subspaces, which verify their representation theorem for a dissipative hyperbolic system initially and also matches for the transport problem. By means of these subspaces, the Lax and Phillips semigroup is defined and it is proved that this semigroup is eventually compact, hence hyperbolic. Balanced equations give rise to two transport equations, one of which can satisfy an advection equation and one of which will be nonautonomous. For generating, the Howland semigroup and Howland’s formalism must be used, as shown in Chapter 5. Chapter 6 is the highlight of the book, in which it is explained how the scattering operator for the transport problem by using the albedo operator can lead to recovery of the functionality of computerized tomography in medical science. The final chapter introduces the Wigner function, which connects the Schrödinger equation to statistical physics and the Husimi distribution function. Here, the relationship between the Wigner function and the quantum dynamical semigroup (QDS) can be seen.
Author | : Alekseĭ Grigorʹevich Sitenko |
Publisher | : Springer |
Total Pages | : 316 |
Release | : 1991-01-21 |
Genre | : Computers |
ISBN | : |
Download Scattering Theory Book in PDF, ePub and Kindle
This book is based on the course in theoretical nuclear physics that has been given by the author for some years at the T. G. Shevchenko Kiev State University. This version is supplemented and revised to include new results obtained after 1971 and 1975 when the first and second editions were published. This text is intended as an introduction to the nonrelativistic theory of po tential scattering. The analysis is based on the scattering matrix concept where the relationship between the scattering matrix and observable physical quantities is considered. The stationary formulation of the scattering problem is presented; particle wave functions in the external field are obtained. A formulation of the optical theorem is given as well as a discussion on time inversion and the reci procity theorem. Analytic properties of the scattering matrix, dispersion relations, and complex moments are analyzed. The dispersion relations for an arbitrary di rection scattering amplitude are proven, and analytic properties of the amplitude in the plane of the complex cosine of the scattering angle are studied in detail.
Author | : Junyan Luo |
Publisher | : |
Total Pages | : 184 |
Release | : 2010 |
Genre | : Electron transport |
ISBN | : |
Download Quantum Transport and Quantum Measurement in Mesoscopic Systems: Reduced Density Matrix Approach Book in PDF, ePub and Kindle