Ergodic and topological properties of coulombic periodic potentials (Q1821414)

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scientific article; zbMATH DE number 3998844
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Ergodic and topological properties of coulombic periodic potentials
scientific article; zbMATH DE number 3998844

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    Ergodic and topological properties of coulombic periodic potentials (English)
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    1987
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    The motion of a classical pointlike particle in a two-dimensional periodic potential with negative coulombic singularities is examined. This motion is shown to be Bernoullian for many potentials and high enough energies. Then the motion on the plane is a diffusion process. All such motions are topologically conjugate and the periodic orbits can be analysed with the help of a group.
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    coulombic singularities
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    diffusion process
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    periodic orbits
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