131 citations · 1.5k across the 69 of their papers we have counts for
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Exceptional points in the elliptical three-disk scatterer using semiclassical periodic orbit quantization
Niklas Liebermann, Jörg Main, Günter Wunner
The three-disk scatterer has served as a paradigm for semiclassical periodic orbit quantization of classical chaotic systems using Gutzwiller's trace formula. It represents an open…
Construction of Darboux coordinates in noncanonical Hamiltonian systems via normal form expansions
Andrej Junginger, Jörg Main, Günter Wunner
Darboux's theorem guarantees the existence of local canonical coordinates on symplectic manifolds under certain conditions. We demonstrate a general method to construct such Darbou…
hbar expansions in semiclassical theories for systems with smooth potentials and discrete symmetries
Holger Cartarius, Jörg Main, Günter Wunner
We extend a theory of first order hbar corrections to Gutzwiller's trace formula for systems with a smooth potential to systems with discrete symmetries and, as an example, apply t…
Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system
J. Main, G. Wunner, E. Atilgan +2
In systems with few degrees of freedom modern quantum calculations are, in general, numerically more efficient than semiclassical methods. However, this situation can be reversed w…
Periodic orbit quantization of chaotic systems with strong pruning
K. Weibert, J. Main, G. Wunner
The three-disk system, which for many years has served as a paradigm for the usefulness of cycle expansion methods, represents an extremely hard problem to semiclassical quantizati…
Periodic orbit quantization of chaotic maps by harmonic inversion
K. Weibert, J. Main, G. Wunner
A method for the semiclassical quantization of chaotic maps is proposed, which is based on harmonic inversion. The power of the technique is demonstrated for the baker's map as a p…