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Semiclassical Approach to Mesoscopic Systems: Classical Trajectory Correlations and Wave Interference: 245 (Springer Tracts in Modern Physics, 245) - Softcover

Book 158 of 227: Springer Tracts in Modern Physics

Waltner, Daniel

 
9783642440618: Semiclassical Approach to Mesoscopic Systems: Classical Trajectory Correlations and Wave Interference: 245 (Springer Tracts in Modern Physics, 245)

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Daniel Waltner  (Dr. rer. nat. in a few days)
Universität Regensburg
Institut I - Theoretische Physik
93040 Regensburg
Germany
Daniel.Waltner@physik.uni-r.de

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783642245275: Semiclassical Approach to Mesoscopic Systems: Classical Trajectory Correlations and Wave Interference: 245 (Springer Tracts in Modern Physics, 245)

Featured Edition

ISBN 10:  3642245277 ISBN 13:  9783642245275
Publisher: Springer, 2012
Hardcover