Affine symmetry in mechanics of collective and internal modes. Part I. Classical models

A. Martens; A. S{\l}awianowska; B. Go{\l}ubowska; E. E. Ro\.zko; J. J. S{\l}awianowski; V. Kovalchuk; Z. J. Zawistowski

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arxiv 0802.3027 v1 pith:OHGGDOO7 submitted 2008-02-21 math-ph math.MP

Affine symmetry in mechanics of collective and internal modes. Part I. Classical models

J. J. S{\l}awianowski , V. Kovalchuk , A. S{\l}awianowska , B. Go{\l}ubowska , A. Martens , E. E. Ro\.zko , Z. J. Zawistowski This is my paper

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keywords dynamicsaffineaffinely-invariantcollectivediscussedinternalkinematicsmodels

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Discussed is a model of collective and internal degrees of freedom with kinematics based on affine group and its subgroups. The main novelty in comparison with the previous attempts of this kind is that it is not only kinematics but also dynamics that is affinely-invariant. The relationship with the dynamics of integrable one-dimensional lattices is discussed. It is shown that affinely-invariant geodetic models may encode the dynamics of something like elastic vibrations.

Affine symmetry in mechanics of collective and internal modes. Part I. Classical models

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