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Correlations between Periodic Orbits and their Role in Spectral Statistics

Sieber, Martin and Richter, Klaus (2001) Correlations between Periodic Orbits and their Role in Spectral Statistics. Physica Scripta T90, pp. 128-133.

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Other URL: http://www.iop.org/EJ/abstract/1402-4896/2001/T90/018


We consider off-diagonal contributions to double sums over periodic orbits that arise in semiclassical approximations for spectral statistics of classically chaotic quantum systems. We identify pairs of periodic orbits whose actions are strongly correlated. For a class of systems with uniformly hyperbolic dynamics, we demonstrate that these pairs of orbits give rise to a t2 contribution ...


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Item type:Article
Institutions:Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
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Dewey Decimal Classification:500 Science > 530 Physics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:1464
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