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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum Chaos I

DY 23.6: Vortrag

Donnerstag, 29. März 2012, 10:45–11:00, MA 001

Resummation of the spectral determinant: the interpretation in terms of orbits — •Daniel Waltner¹, Gregor Tanner², and Klaus Richter¹ — ¹Institut I - Theoretische Physik, Universität Regensburg, Universitätsstraße 31, D-93053 Regensburg — ²School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK

Calculating spectra based on semiclassical expressions with periodic-orbit sums faces divergence problems in chaotic systems: The number of orbits and thus also the contributions increase exponentially with their length. Based on unitarity, expressions containing finite sums over orbits could be derived for the spectral determinant. However, the underlying orbit correlations that could justify such a resummation procedure remained unclear in this context. Here we want to explain the pseudo-orbit correlations leading to finite pseudo-orbit sums considering graphs with chaotic dynamics.