301 citations · 377 across the 3 of their papers we have counts for
3 papers
nlin.CD2004★ 301 cited
Semiclassical Foundation of Universality in Quantum Chaos
Sebastian Müller, Stefan Heusler, Petr Braun +2
We sketch the semiclassical core of a proof of the so-called Bohigas-Giannoni-Schmit conjecture: A dynamical system with full classical chaos has a quantum energy spectrum with uni…
nlin.CD2003★ 54 cited
Universal spectral form factor for chaotic dynamics
Stefan Heusler, Sebastian Müller, Petr Braun +1
We consider the semiclassical limit of the spectral form factor of fully chaotic dynamics. Starting from the Gutzwiller type double sum over classical periodic orbits we set…
nlin.CD2003★ 22 cited
Classical basis for quantum spectral fluctuations in hyperbolic systems
Sebastian Müller
We reason in support of the universality of quantum spectral fluctuations in chaotic systems, starting from the pioneering work of Sieber and Richter who expressed the spectral for…