Symplectic reduction and topology for applications in classical molecular dynamics

DOI10.1063/1.529705zbMath0770.70008OpenAlexW2071925003MaRDI QIDQ3992324

F. J. Lin, Jerrold E. Marsden

Publication date: 13 August 1992

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

Full work available at URL: https://authors.library.caltech.edu/13026/

zbMATH Keywords

clustersdiatomic moleculesHamiltonian mechanicsenergy separationenergy-momentum mapatom-atom collisionscenter of mass coordinate systemlaboratory coordinate systemrotational and internal energies

Mathematics Subject Classification ID

Two-body problems (70F05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) (n)-body problems (70F10)

Related Items (1)

Symplectic reduction, geometric phase, and internal dynamics in three-body molecular dynamics.

Cites Work

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• Semiclassical description of scattering
• Application of semiclassical scattering analysis
• Reduction of symplectic manifolds with symmetry
• Stability of relative equilibria. I: The reduced energy-momentum method
• Solution of the time-dependent Schrödinger equation employing a basis of explicit discrete-coordinate eigenfunctions: Spherical and azimuthal symmetry, adiabaticity, and multiphoton excitation of a rotating Morse oscillator
• Topology and mechanics. I
• Topology and mechanics. II: The planar \(n\)-body problem
• The Rotation-Vibration Coupling in Diatomic Molecules
• Some Studies Concerning Rotating Axes and Polyatomic Molecules

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