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The semiclassical continuity equation for open chaotic systems

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DOI to cite this document:
Kuipers, Jack ; Waltner, Daniel ; Gutiérrez, Martha ; Richter, Klaus
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PDF - Accepted Version
arXiv PDF (22.06.2009)
PDF - Submitted Version
arXiv PDF (13.11.2008)
Date of publication of this fulltext: 05 Aug 2009 13:57


We consider the continuity equation for open chaotic quantum systems in the semiclassical limit. First we explicitly calculate a semiclassical expansion for the probability current density using an expression based on classical trajectories. The current density is related to the survival probability via the continuity equation, and we show that this relation is satisfied within the semiclassical ...


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