Topological considerations on plasma confinement and on related problems in quantum theory.

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  • Ito Hiroshi
    Department of Electrical Engineering, Fukui Institute of Technology

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  • 核融合ならびに物理学に表われる位相幾何学的考察
  • カク ユウゴウ ナラビニ ブツリガク ニ アラワレル イソウ キカガクテキ コ

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Abstract

When the toroidal current flows along a multiply connected region as the inside of a toroidal vessel used like a tokamak, the magnetic flux enclosed by this current loop is possibly kept constant while it may be lost in time and become unstable for the case of a spheromak whose current exists in a singly connected region. By the same kind of topological consideration, the constancy of a closed line integral of momentum, Bohr condition in quantum theory suggests to us that this contour exists in some multiply connected region. For special cases, Bohr condition reduces to interference condition of light.

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  • Kakuyūgō kenkyū

    Kakuyūgō kenkyū 58 (4), 350-356, 1987

    The Japan Society of Plasma Science and Nuclear Fusion Research

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