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Resonant Quasi-periodic and Periodic Orbits

C. Clay Marston, Róbert E. Wyatt

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Abstract

Numerical methods are described for locating resonant quasiperiodic and periodic orbits in the 3D F+H 2 reaction with J=0. A number of plots of both types of resonant orbit are presented. This is the first time that resonant orbits have been found for a non-collinear reaction. These orbits are then used in the arbitrary trajectory semiclassical quantization scheme of DeLeon and Heller. The lowest resonance energy predicted using this procedure is in good agreement with all available quantal and adiabatic semiclassical results.

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What this paper is about

Numerical methods are described for locating resonant quasiperiodic and periodic orbits in the 3D F+H 2 reaction with J=0. A number of plots of both types of resonant orbit are presented. This is the first time that resonant orbits have been found for a non-collinear reaction. These orbits are then used in the arbitrary trajectory semiclassical quantization scheme of DeLeon and Heller. The lowest resonance energy predicted using this procedure is in good agreement with all available quantal and adiabatic semiclassical results.

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Available abstract

Numerical methods are described for locating resonant quasiperiodic and periodic orbits in the 3D F+H 2 reaction with J=0. A number of plots of both types of resonant orbit are presented. This is the first time that resonant orbits have been found for a non-collinear reaction. These orbits are then used in the arbitrary trajectory semiclassical quantization scheme of DeLeon and Heller. The lowest resonance energy predicted using this procedure is in good agreement with all available quantal and adiabatic semiclassical results.

Key concepts: Quasi periodic, Periodic orbits, Physics, Mathematics, Mathematical analysis, Astrophysics

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