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The semiclassical origin of curvature effects in universal spectral statistics

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Waltner, Daniel ; Heusler, S. ; Urbina, Juan Diego ; Richter, Klaus
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arXiv PDF (29.03.2009)
Date of publication of this fulltext: 05 Aug 2009 13:58


We consider the energy averaged two-point correlator of spectral determinants and calculate contributions beyond the diagonal approximation using semiclassical methods. Evaluating the contributions originating from pseudo-orbit correlations in the same way as in [S. Heusler et al. 2007 Phys. Rev. Lett. {\bf 98}, 044103] we find a discrepancy between the semiclassical and the random matrix theory ...


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