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Stable Trajectory Of Charged Particle In Paul Trap: Application Of Band Theory

Author

Listed:
  • M. KABURAGI

    (Faculty of Cross-Cultural Studies, Kobe University, Tsurukabuto, Nada, Kobe 657, Japan)

  • Y. FUKUDA

    (Faculty of Science, Kobe University, Rokkodai, Kobe 657, Japan)

  • T. KOHMOTO

    (Faculty of Science, Kobe University, Rokkodai, Kobe 657, Japan)

Abstract

The purpose of this study is to develop a theory for the motion of a charged particle in a trap with general rf trapping field. We first show that the equations of motion for a charged particle in the trap are equivalent to Schrödinger equation for a one-dimensional system with periodic potential. Applying the band theory to the equation, we analyze the region in a so-called(a, q)parameter-space with stable trajectory. It is shown that the stable region is roughly divided into two regimes, namely thenearly freeregime and thetight-bindingregime. Thea-qrelations for the boundaries of each regime are obtained in explicit formula. Using these results, we discuss the effects of the waveform of the rf trapping field on the motion of a charged particle, aiming to obtain a wider stable region in the parameter space for experimental studies.

Suggested Citation

  • M. Kaburagi & Y. Fukuda & T. Kohmoto, 1996. "Stable Trajectory Of Charged Particle In Paul Trap: Application Of Band Theory," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 259-262.
    • Handle: RePEc:wsi:srlxxx:v:03:y:1996:i:01:n:s0218625x96000504
    DOI: 10.1142/S0218625X96000504
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