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Author : Klaus Richter
Publisher :
ISBN 13 : 9783662156490
Total Pages : 236 pages
Book Rating : 4.90/5 ( download)
Download or read book Semiclassical Theory of Mesoscopic Quantum Systems written by Klaus Richter and published by . This book was released on 2014-01-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Nakamura
Publisher : Springer Science & Business Media
ISBN 13 : 0306471213
Total Pages : 224 pages
Book Rating : 4.16/5 ( download)
Download or read book Quantum versus Chaos written by K. Nakamura and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Klaus Richter
Publisher : Springer
ISBN 13 : 9783540665663
Total Pages : 240 pages
Book Rating : 4.68/5 ( download)
Download or read book Semiclassical Theory of Mesoscopic Quantum Systems written by Klaus Richter and published by Springer. This book was released on 1999-11-22 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Daniel Waltner
Publisher : Springer
ISBN 13 : 3642245285
Total Pages : 186 pages
Book Rating : 4.82/5 ( download)
Download or read book Semiclassical Approach to Mesoscopic Systems written by Daniel Waltner and published by Springer. This book was released on 2012-01-05 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Joachim Ankerhold
Publisher : Springer Science & Business Media
ISBN 13 : 3540680748
Total Pages : 221 pages
Book Rating : 4.41/5 ( download)
Download or read book Quantum Tunneling in Complex Systems written by Joachim Ankerhold and published by Springer Science & Business Media. This book was released on 2007-02-15 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last two decades remarkable progress has been made in understanding and describing tunneling processes in complex systems in terms of classical trajectories. This book introduces recent concepts and achievements with particular emphasis on a dynamical formulation and relations to specific systems in mesoscopic, molecular, and atomic physics. Advanced instanton techniques, e.g. for decay rates and tunnel splittings, are discussed in the first part. The second part covers current developments for wave-packet tunneling in real-time, and the third part describes thermodynamics and dynamical approaches for barrier transmission in statistical, particularly dissipative systems.
Author : Giulio Casati
Publisher : Springer Science & Business Media
ISBN 13 : 9048131189
Total Pages : 275 pages
Book Rating : 4.81/5 ( download)
Download or read book Complex Phenomena in Nanoscale Systems written by Giulio Casati and published by Springer Science & Business Media. This book was released on 2009-08-10 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanoscale physics has become one of the rapidly developing areas of contemporary physics because of its direct relevance to newly emerging area, nanotechnologies. Nanoscale devices and quantum functional materials are usually constructed based on the results of fundamental studies on nanoscale physics. Therefore studying physical phenomena in nanosized systems is of importance for progressive development of nanotechnologies. In this context study of complex phenomena in such systems and using them for controlling purposes is of great practical importance. Namely, such studies are brought together in this book, which contains 27 papers on various aspects of nanoscale physics and nonlinear dynamics.
Author : Günter Radons
Publisher : John Wiley & Sons
ISBN 13 : 9783527629381
Total Pages : 475 pages
Book Rating : 4.86/5 ( download)
Download or read book Nonlinear Dynamics of Nanosystems written by Günter Radons and published by John Wiley & Sons. This book was released on 2010-01-12 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 0387218289
Total Pages : 270 pages
Book Rating : 4.81/5 ( download)
Download or read book Electronic Quantum Transport in Mesoscopic Semiconductor Structures written by Thomas Ihn and published by Springer. This book was released on 2004-09-09 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Katsuhiro Nakamura
Publisher :
ISBN 13 : 9780198525899
Total Pages : 228 pages
Book Rating : 4.93/5 ( download)
Download or read book Quantum Chaos and Quantum Dots written by Katsuhiro Nakamura and published by . This book was released on 2004 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics of billiard balls and their role in physics have received wide attention since the monumental lecture by Lord Kelvin at the turn of the 19th century. Billiards can nowadays be created as quantum dots in the microscopic world enabling one to envisage the so-called quantum chaos, i.e.quantum manifestation of chaos of billiard balls. In fact, owing to recent progress in advanced technology, nanoscale quantum dots, such as chaotic stadium and antidot lattices analogous to the Sinai Billiard, can be fabricated at the interface of semiconductor heterojunctions. This book begins itsexploration of the effect of chaotic electron dynamics on ballistic quantum transport in quantum dots with a puzzling experiment on resistance fluctuations for stadium and circle dots. Throughout the text, major attention is paid to the semiclassical theory which makes it possible to interpretquantum phenomena in the language of the classical world. Chapters one to four are concerned with the elementary statistical methods (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and escape rate), which are needed for a semiclassical description of transport in quantum dots. Chapters fiveto ten discuss the topical subjects in the field, including the ballistic weak localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, persistent current, Arnold diffusion and Coulomb blockade.
Author : Società italiana di fisica
Publisher : IOS Press
ISBN 13 : 1614992282
Total Pages : 548 pages
Book Rating : 4.88/5 ( download)
Download or read book New Directions in Quantum Chaos written by Società italiana di fisica and published by IOS Press. This book was released on 2000 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rapid progress of the research field of quantum chaos and its applications called for a book that keeps students abreast of the new developments and at the same time provides a solid basis in subjects which form the canon of the field. This book discusses the following topics: Spectral statistics and their semiclassical interpretation in terms of the Gutzwiller trace formula, Quantum chaos and its applications in mesoscopic physics, Spectral statistics and conductance fluctuations and Quantum chaos in systems with many degrees of freedom. The book connects and continues past and present achievements and prepares the ground for a future full of intriguing and important developments.
