Level density of the Hénon-Heiles system above the critical barrier Energy

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dc.creatorBrack, M.
dc.creatorKaidel, J.
dc.creatorWinkler, P.
dc.creatorFedotkin, S. N.
dc.date2005-11-02
dc.date2005-11-05
dc.date.accessioned2026-07-07T06:51:57Z
dc.date.available2026-07-07T06:51:57Z
dc.descriptionWe 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 reproduce the quantum-mechanical density of states very accurately. We also present a perturbative calculation of the stabilities of two infinite series of orbits (R$_n$ and L$_m$), emanating from the shortest librating straight-line orbit (A) in a bifurcation cascade just below the barrier, which at the barrier have two common asymptotic Lyapunov exponents $χ_{\rm R}$ and $χ_{\rm L}$.
dc.descriptionLaTeX, style FBS (Few-Body Systems), 6pp. 2 Figures; invited talk at "Critical stability of few-body quantum systems", MPI-PKS Dresden, Oct. 17-21, 2005; corrected version: passages around eq. (6) and eqs. (12),(13) improved
dc.identifierhttps://arxiv.org/abs/nlin/0511005
dc.identifierhttp://arxiv.org/abs/nlin/0511005
dc.identifierFew Body Systems 38 (2006) pp. 147 - 152
dc.identifierdoi:10.1007/s00601-005-0124-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105160
dc.subjectChaotic Dynamics
dc.titleLevel density of the Hénon-Heiles system above the critical barrier Energy
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