Correlations between periodic orbits and their rôle in spectral statistics

By M. Sieber, K. Richter. 2001

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Leaking chaotic systems (2012, background): “In the semiclassical limit such systems reflect the properties of the underlying classical systems, including semiclassical corrections to the classical escape rate (Gutiérrez et al., 2009; 42 Sieber and Richter, 2001; Waltner et al., 2008).”
Decoherence, entanglement and irreversibility in quantum dynamical systems with few degrees of freedom (2008, background): “…between the RMT and semiclassical approaches in confined quantum chaotic systems seem to hold for two-point correlation functions (Heusler et al., 2007; Müller et al., 2004; Sieber, 2002; Sieber and Richter, 2001) (this theory neglect diffraction effects, which might or might not be legitimate).”
Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory (2017, methodology): “A clear heuristic derivation of the RMT spectral form factor KðtÞ for classically strongly chaotic (hyperbolic) systems from semiclassical periodic orbit theory, starting from Berry’s diagonal approximation [8], upgraded to second order in t by Sieber and Richter [11,12], and finally completed to al”