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Brownian motion of a parametric oscillator: A model for ion confinement in radio frequency traps

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Zeitschrift für Physik D Atoms, Molecules and Clusters

Abstract

The distribution function for Brownian motion of a parametric oscillator is calculated exactly with the help of continued fraction expansions in the long time limit. We derive expressions for the energy and the widths of the spatial and velocity distribution. Our results are relevant to understand confinement of particles in radio frequency ion traps.

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Authors and Affiliations

  1. I. Institut für Experimentalphysik, Universität Hamburg, Federal Republic of Germany

    R. Blatt & I. Siemers

  2. Institut für Theoretische Physik, Universität Innsbruck, Austria

    P. Zoller & G. Holzmüller

Authors
  1. R. Blatt
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  2. P. Zoller
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  3. G. Holzmüller
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  4. I. Siemers
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Blatt, R., Zoller, P., Holzmüller, G. et al. Brownian motion of a parametric oscillator: A model for ion confinement in radio frequency traps. Z Phys D - Atoms, Molecules and Clusters 4, 121–126 (1986). https://doi.org/10.1007/BF01437349

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  • DOI: https://doi.org/10.1007/BF01437349

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