Phase-space geometry and reaction dynamics near index 2 saddles

DOI10.1088/1751-8113/42/20/205101zbMath1180.70020arXiv0902.4014OpenAlexW3104722152MaRDI QIDQ3630125

Gregory S. Ezra, Stephen Wiggins

Publication date: 2 June 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4014

zbMATH Keywords

Lagrangian submanifoldsWeyl quantizationPoincaré-Birkhoff normal formnormally hyperbolic invariant manifoldroaming trajectories

Mathematics Subject Classification ID

Hamilton's equations (70H05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Topological and differential topological methods for problems in mechanics (70G40) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (4)

The role of normally hyperbolic invariant manifolds (NHIMS) in the context of the phase space setting for chemical reaction dynamics ⋮ Exploring isomerization dynamics on a potential energy surface with an index-2 saddle using Lagrangian descriptors ⋮ The chaotic set and the cross section for chaotic scattering in three degrees of freedom ⋮ Second-order saddle dynamics in isomerization reaction

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