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Wigner representation of the rotational dynamics of rigid tops

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arxiv 1406.3822 v2 pith:PAABPMVO submitted 2014-06-15 quant-ph

Wigner representation of the rotational dynamics of rigid tops

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keywords dynamicsmolecularrepresentationswigneralignmentanalysisdesigndesired
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We propose a methodology to design Wigner representations in phase spaces with nontrivial topology having evolution equations with desired mathematical properties. As an illustration, two representations of molecular rotations are developed to facilitate the analysis of molecular alignment in moderately intense laser fields, reaction dynamics, scattering phenomena and dissipative processes.

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  1. Quantum Mechanics on Lie Groups: I. Noncommutative Fourier Transforms

    quant-ph 2025-12 conditional novelty 7.0

    A noncommutative Fourier transform isometry-maps L^2(G) to a star-product momentum space, yielding a Poisson summation formula for compact Lie groups.