301 citations · 683 across the 5 of their papers we have counts for
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Periodic-Orbit Theory of Universality in Quantum Chaos
Sebastian Müller, Stefan Heusler, Petr Braun +2
We argue semiclassically, on the basis of Gutzwiller's periodic-orbit theory, that full classical chaos is paralleled by quantum energy spectra with universal spectral statistics,…
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…
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…
Statistics of Self-Crossings and Avoided Crossings of Periodic Orbits in the Hadamard-Gutzwiller Model
Peter A. Braun, Stefan Heusler, Sebastian Müller +1
Employing symbolic dynamics for geodesic motion on the tesselated pseudosphere, the so-called Hadamard-Gutzwiller model, we construct extremely long periodic orbits without comprom…
Near action degeneracy of periodic orbits in systems with non-conventional time reversal
P. A. Braun, F. Haake, S. Heusler
Recently, Sieber and Richter calculated semiclassically a first off-diagonal contribution to the orthogonal form factor for a billiard on a surface of constant negative curvature b…
Semiclassical evidence for the BGS-conjecture
Stefan Heusler
Recently, M. Sieber and K. Richter achieved a breakthrough towards a proof of the BGS-conjecture by calculating semiclassically a first correction to the diagonal approximation of…