Semiclassical Theory of Mesoscopic Quantum Systems
Author | : Klaus Richter |
Publisher | : |
Total Pages | : 181 |
Release | : 1997 |
Genre | : |
ISBN | : |
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Author | : Klaus Richter |
Publisher | : |
Total Pages | : 181 |
Release | : 1997 |
Genre | : |
ISBN | : |
Author | : Klaus Richter |
Publisher | : Springer |
Total Pages | : 240 |
Release | : 1999-11-22 |
Genre | : Science |
ISBN | : 9783540665663 |
This book describes manifestations of classical dynamics and chaos in the quantum properties of mesoscopic systems. During the last two decades mesoscopic physics has evolved into a rapidly progressing and exciting interdisciplinary field of physics. The first part of the book deals with integrable and chaotic classical dynamics with particular emphasis on the semiclassical description of spectral correlations, thermodynamic properties and linear response functions. The main part shows applications to prominent observables in the mesoscopic context.
Author | : K. Nakamura |
Publisher | : Springer Science & Business Media |
Total Pages | : 224 |
Release | : 2006-04-11 |
Genre | : Science |
ISBN | : 0306471213 |
Quantum and chaos, key concepts in contemporary science, are incompatible by nature. This volume presents an investigation into quantum transport in mesoscopic or nanoscale systems which are classically chaotic and shows the success and failure of quantal, semiclassical, and random matrix theories in dealing with questions emerging from the mesoscopic cosmos. These traditional theories are critically analysed, and this leads to a new direction. To reconcile quantum with chaos and to restore genuine temporal chaos in quantum systems, a time-discrete variant of quantum dynamics is proposed. Audience:This book will be of interest to graduate students and researchers in physics, chemistry and mathematics, whose work involves fundamental questions of quantum mechanics in chaotic systems.
Author | : Daniel Waltner |
Publisher | : Springer |
Total Pages | : 186 |
Release | : 2012-01-05 |
Genre | : Science |
ISBN | : 3642245285 |
This volume describes mesoscopic systems with classically chaotic dynamics using semiclassical methods which combine elements of classical dynamics and quantum interference effects. Experiments and numerical studies show that Random Matrix Theory (RMT) explains physical properties of these systems well. This was conjectured more than 25 years ago by Bohigas, Giannoni and Schmit for the spectral properties. Since then, it has been a challenge to understand this connection analytically. The author offers his readers a clearly-written and up-to-date treatment of the topics covered. He extends previous semiclassical approaches that treated spectral and conductance properties. He shows that RMT results can in general only be obtained semiclassically when taking into account classical configurations not considered previously, for example those containing multiply traversed periodic orbits. Furthermore, semiclassics is capable of describing effects beyond RMT. In this context he studies the effect of a non-zero Ehrenfest time, which is the minimal time needed for an initially spatially localized wave packet to show interference. He derives its signature on several quantities characterizing mesoscopic systems, e. g. dc and ac conductance, dc conductance variance, n-pair correlation functions of scattering matrices and the gap in the density of states of Andreev billiards.
Author | : Yoshimasa Murayama |
Publisher | : John Wiley & Sons |
Total Pages | : 253 |
Release | : 2008-09-26 |
Genre | : Science |
ISBN | : 3527618031 |
Future high-tech applications such as nanotechnology require a deep understanding of the physics of mesoscopic systems. These systems form a bridge between macroscopic systems governed by classical physics and microscopic systems governed by quantum physics. This introduction discusses a variety of typical surface, optical, transport, and magnetic properties of mesoscopic systems with reference to many experimental observations. It is written for physicists, materials scientists and engineers who want to stay abreast of current research or high-tech development.
Author | : Klaus Richter |
Publisher | : Springer |
Total Pages | : 240 |
Release | : 2000 |
Genre | : Medical |
ISBN | : |
This book describes manifestations of classical dynamics and chaos in the quantum properties of mesoscopic systems. During the last two decades mesoscopic physics has evolved into a rapidly progressing and exciting interdisciplinary field of physics. The first part of the book deals with integrable and chaotic classical dynamics with particular emphasis on the semiclassical description of spectral correlations, thermodynamic properties and linear response functions. The main part shows applications to prominent observables in the mesoscopic context.
Author | : Peter D. Hislop |
Publisher | : American Mathematical Soc. |
Total Pages | : 133 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : 0821824627 |
In this paper, we prove the existence of shape resonances in the semi-classical approximation for Hamiltonians of the form [italic]H([lowercase Greek]Lambda) [triple bar symbol] −([capital Greek]Delta + ([lowercase Greek]Lambda2[italic]V + [italic]U on [italic]L2([bold]R[superscript italic]n), where ([lowercase Greek]Lambda [triple bar symbol] 1/h[with stroke], h[with stroke] [triple bar symbol] (2[lowercase Greek]Pi)−1h.
Author | : John Weiner |
Publisher | : Cambridge University Press |
Total Pages | : 233 |
Release | : 2003-12-04 |
Genre | : Science |
ISBN | : 1139439499 |
Cold and ultracold collisions occupy a strategic position at the intersection of several powerful themes of current research in chemical physics, in atomic, molecular and optical physics, and even in condensed matter. The nature of these collisions has important consequences for optical manipulation of inelastic and reactive processes, precision measurement of molecular and atomic properties, matter-wave coherences and quantum-statistical condensates of dilute, weakly interacting atoms. This crucial position explains the wide interest and explosive growth of the field since its inception in 1987. The author reviews elements of the quantum theory of scattering theory, collisions taking place in the presence of one or more light fields, and collisions in the dark, below the photon recoil limit imposed by the presence of any light field. Finally, it reviews the essential properties of these mesoscopic quantum systems and describes the key importance of the scattering length to condensate stability.
Author | : Günter Radons |
Publisher | : John Wiley & Sons |
Total Pages | : 475 |
Release | : 2010-01-12 |
Genre | : Technology & Engineering |
ISBN | : 9783527629381 |
A discussion of the fundamental changes that occur when dynamical systems from the fields of nonlinear optics, solids, hydrodynamics and biophysics are scaled down to nanosize. The authors are leading scientists in the field and each of their contributions provides a broader introduction to the specific area of research. In so doing, they include both the experimental and theoretical point of view, focusing especially on the effects on the nonlinear dynamical behavior of scaling, stochasticity and quantum mechanics. For everybody working on the synthesis and integration of nanoscopic devices who sooner or later will have to learn how to deal with nonlinear effects.
Author | : Thomas Ihn |
Publisher | : Springer |
Total Pages | : 270 |
Release | : 2004-09-09 |
Genre | : Science |
ISBN | : 0387218289 |
Opening with a brief historical account of electron transport from Ohm's law through transport in semiconductor nanostructures, this book discusses topics related to electronic quantum transport. The book is written for graduate students and researchers in the field of mesoscopic semiconductors or in semiconductor nanostructures. Highlights include review of the cryogenic scanning probe techniques applied to semiconductor nanostructures.