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Semiclassical approach to mesoscopic systems : classical trajectory correlations and wave interference / Daniel Waltner.
Springer Nature - Springer Physics and Astronomy eBooks 2012 English International Available online
View online- Format:
- Book
- Author/Creator:
- Waltner, Daniel.
- Series:
- Springer tracts in modern physics ; 245.
- Springer tracts in modern physics, 0081-3869 ; v. 245
- Language:
- English
- Subjects (All):
- Quantum theory.
- Mesoscopic phenomena (Physics).
- Mechanics.
- Physical Description:
- 1 online resource (X, 182 p.)
- Edition:
- 1st ed. 2012.
- Place of Publication:
- Heidelberg ; New York : Springer, c2012.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- Semiclassical techniques
- Survival probability and fidelity deday
- Ehrenfest-time effects in mesoscopic systems
- Semiclassical analogues to field-theoretical effects
- Conclusion and outlook
- Recursion relations for transport
- Encounter integrals for non-zero Ehrenfest time
- Conductance variance with tunnel barriers.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references.
- ISBN:
- 3-642-24528-5
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