Brack, Matthias and Kaidel, Jörg and Winkler, Peter and Fedotkin, Sergey
Level density of the Hénon-Heiles system above the critical barrier energy.
Few Body Systems (Springer, Wien) 38 (2-4), pp. 147-152.
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Other URL: http://homepages.uni-regensburg.de/~brm04014/notes/crit05mb.pdf
We discuss the coarse-grained level density of the Hénon-Heiles system above the barrier energy, where the system is nearly chaotic. We use periodic orbit theory to approximate its oscillating part semiclassically via Gutzwiller's semiclassical trace formula (extended by uniform approximations for the contributions of bifurcating orbits). Including only a few stable and unstable orbits, we ...
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