Reference : Semiclassical theory for transmission through open billiards: Convergence towards qua...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/10993/17419
Semiclassical theory for transmission through open billiards: Convergence towards quantum transport
English
Wirtz, Ludger mailto [Technische Universität Wien = Vienna University of Technology - TU Vienna > Institute for Theoretical Physics]
Stampfer, C. [Technische Universität Wien = Vienna University of Technology - TU Vienna > Institute for Theoretical Physics]
Rotter, S. [Technische Universität Wien = Vienna University of Technology - TU Vienna > Institute for Theoretical Physics]
Burgdorfer, J. [Technische Universität Wien = Vienna University of Technology - TU Vienna > Institute for Theoretical Physics]
2003
PHYSICAL REVIEW E
67
1
Yes (verified by ORBilu)
International
1539-3755
[en] We present a semiclassical theory for transmission through open quantum billiards which converges towards quantum transport. The transmission amplitude can be expressed as a sum over all classical paths and pseudopaths which consist of classical path segments joined by "kinks," i.e., diffractive scattering at lead mouths. For a rectangular billiard we show numerically that the sum over all such paths with a given number of kinks K converges to the quantum transmission amplitude as K-->infinity. Unitarity of the semiclassical theory is restored as K approaches infinity. Moreover, we find excellent agreement with the quantum path-length power spectrum up to very long path length.
http://hdl.handle.net/10993/17419
10.1103/PhysRevE.67.016206

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