Ergodic and topological properties of coulombic periodic potentials
- Cite this article as:
- Knauf, A. Commun.Math. Phys. (1987) 110: 89. doi:10.1007/BF01209018
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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.