Geometric Structures of Phase Space in Multidimensional by Stuart Alan Rice, Mikito Toda

By Stuart Alan Rice, Mikito Toda

Edited by means of Nobel Prize winner Ilya Prigogine and well known authority Stuart A. Rice, the Advances in Chemical Physics sequence offers a discussion board for severe, authoritative reviews in each zone of the self-discipline. In a structure that encourages the expression of person issues of view, specialists within the box current complete analyses of topics of curiosity. Advances in Chemical Physics is still the most excellent venue for shows of latest findings in its box.

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Extra info for Geometric Structures of Phase Space in Multidimensional Chaos Applications to Chemical Reaction Dynamics in Complex Systems. (Advances in Chemical Physics, Volume 130, Part A)

Sample text

Then after m2 iterations of this map one has (ÃÆ Þm2 ¼ 1. That is, after m2 rotations on the two-dimensional plane a small change in the initial condition returns exactly to its starting value. As such, this new expression for ÃÆ is indicative of resonances. These resonances are arranged in the parameter space in a monotone sequence between r ¼ 1=1 and r ¼ 1=2. Of particular importance are the low-order resonances associated with d ¼ 2 and d ¼ 3. In most cases of 0 < d < 4, there are a set of bounded trajectories surrounding the stable fixed point and forming the main quasi-periodic islands.

CNH I. Isomerization of Cyclobutanone (C4H6O) VI. Quantum and Semiclassical Approaches A. The Wigner Function and Weyl’s Rule B. Quantum Scars in Phase-Space C. Quantizing the ARRKM Theory D. Rigorous Quantum Rate Theory Versus the Quantized ARRKM Theory E. A Semiclassical Approximation to the Rigorous Quantum Rate Theory F. Effective Hamiltonian Approach to Unimolecular Dissociation G. Wave Packet Dynamics Approach VII. Quantum Transport in Classically Chaotic Systems A. Quantum Transport Through Cantori B.

Canonical Transformation B. Invariant Measure C. Action and Angle Variables D. KAM Theorem E. Poincare´ Surface of Section F. Stability Analysis G. Bottlenecks in Few-Dimensional Systems H. Bottlenecks in Many-Dimensional Systems I. Normally Hyperbolic Invariant Manifold III. Mapping Models of Unimolecular Fragmentation A. Two-Dimensional Free Particle in a Morse-like Kicking Field B. Four-Dimensional Free Rotor in a Morse-like Kicking Field IV. Theory of Unimolecular Predissociation A. Davis–Gray Analysis B.

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