Overview
- Gives a modern approach
- Features Ehrenfest-time effects in mesoscopic systems
- Integrates basics and new results
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Tracts in Modern Physics (STMP, volume 245)
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Table of contents (6 chapters)
Keywords
About this book
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.
Reviews
From the reviews:
“Quantum chaos has been the subject of intensive theoretical and experimental investigations in the last forty years. … This is the subject of the present book, largely based upon the personal research activity of the author. … this book may be useful and interesting to the reader working on semi-classical approaches to quantum problems and chaotic phenomena in mesoscopic systems. Moreover, the beginner will also benefit from reading this book, thanks to the exhaustive bibliography given at the end of each chapter.” (Giorgio Cattapan, Mathematical Reviews, Issue 2012 m)
Authors and Affiliations
About the author
Universität Regensburg
Institut I - Theoretische Physik
93040 Regensburg
Germany
Daniel.Waltner@physik.uni-r.de
Bibliographic Information
Book Title: Semiclassical Approach to Mesoscopic Systems
Book Subtitle: Classical Trajectory Correlations and Wave Interference
Authors: Daniel Waltner
Series Title: Springer Tracts in Modern Physics
DOI: https://doi.org/10.1007/978-3-642-24528-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag GmbH Berlin Heidelberg 2012
Hardcover ISBN: 978-3-642-24527-5Published: 05 January 2012
Softcover ISBN: 978-3-642-44061-8Published: 22 February 2014
eBook ISBN: 978-3-642-24528-2Published: 05 January 2012
Series ISSN: 0081-3869
Series E-ISSN: 1615-0430
Edition Number: 1
Number of Pages: X, 182
Topics: Theoretical, Mathematical and Computational Physics, Complexity, Quantum Physics, Nanoscale Science and Technology