S U(2) coordinate geometry for semiclassical theory of rotors and oscillators

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Abstract
A spinor coordinate geometry is described which unifies a number of theoretical approaches to rotational and vibrational dynamics. Visualization aids previously developed for describing complex rotor spectra are extended and related to vibrational models. The relation is based upon analogies with optical polarization ellipsometry and spin rotation or precession. Rotational energy (RE) surfaces are used to describe a transition between normal and local modes in the presence of simple forms of Coriolis coupling and anharmonicity.