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

Buch 158 von 227: Springer Tracts in Modern Physics

Waltner, Daniel

 
9783642440618: Semiclassical Approach to Mesoscopic Systems: Classical Trajectory Correlations and Wave Interference (Springer Tracts in Modern Physics, Band 245)
Softcover
ISBN 10: 3642440614 ISBN 13: 9783642440618
Verlag: Springer, 2014

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
3642440614
ISBN 13 
9783642440618
Einband
Taschenbuch
Anzahl der Seiten
192
Kontakt zum Hersteller
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Darmstadt
64293
Deutschland

Weitere beliebte Ausgaben desselben Titels

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

Vorgestellte Ausgabe

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