000 03395nam a22004815i 4500
001 978-3-642-24528-2
003 DE-He213
005 20140220083303.0
007 cr nn 008mamaa
008 120103s2012 gw | s |||| 0|eng d
020 _a9783642245282
_9978-3-642-24528-2
024 7 _a10.1007/978-3-642-24528-2
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
082 0 4 _a530.1
_223
100 1 _aWaltner, Daniel.
_eauthor.
245 1 0 _aSemiclassical Approach to Mesoscopic Systems
_h[electronic resource] :
_bClassical Trajectory Correlations and Wave Interference /
_cby Daniel Waltner.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2012.
300 _aIX, 181p. 52 illus., 42 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Tracts in Modern Physics,
_x0081-3869 ;
_v245
505 0 _aSemiclassical 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.
520 _aThis 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.
650 0 _aPhysics.
650 0 _aQuantum theory.
650 0 _aEngineering.
650 1 4 _aPhysics.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aComplexity.
650 2 4 _aQuantum Physics.
650 2 4 _aNanoscale Science and Technology.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642245275
830 0 _aSpringer Tracts in Modern Physics,
_x0081-3869 ;
_v245
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-24528-2
912 _aZDB-2-PHA
999 _c102297
_d102297