Effective long-range interactions in confined curved dimensions

@article{Schmelcher2011EffectiveLI,
  title={Effective long-range interactions in confined curved dimensions},
  author={Peter Schmelcher},
  journal={EPL (Europhysics Letters)},
  year={2011},
  volume={95},
  pages={50005}
}
  • P. Schmelcher
  • Published 13 July 2011
  • Physics
  • EPL (Europhysics Letters)
We explore the effective long-range interaction of charged particles confined to a curved low-dimensional manifold using the example of a helical geometry. Opposite to the Coulomb interaction in free space the confined particles experience a force which is oscillating with the distance between the particles. This leads to stable equilibrium configurations and correspondingly induced bound states whose number is tunable with the parameters of the helix. We demonstrate the existence of a plethora… 

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