Numerical Analysis of Quantum Mechanical ∇B Drift

Access this Article

Search this Article

Author(s)

    • OIKAWA Shun-ichi
    • Faculty of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan
    • SHIMAZAKI Takahiro
    • Faculty of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan
    • OKUBO Emi
    • Faculty of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan

Abstract

We have solved the two-dimensional time-dependent Schrödinger equation for a single particle in the presence of a nonuniform magnetic field for initial speeds of 10-100 m/s. By linear extrapolation, it is shown that the variance, or the uncertainty, in position would reach the square of the interparticle separation n<sup>−2/3</sup> with a number density of n = 10<sup>20</sup> m<sup>−3</sup> in a time interval of the order of 10<sup>−4</sup> sec. After this time the wavefunctions of neighboring particles would overlap, as a result the conventional classical analysis may lose its validity: Plasmas may behave more-or-less like extremely-low-density liquids, not gases, since the size of each particle is of the same order of the interparticle separation.

Journal

  • Plasma and Fusion Research

    Plasma and Fusion Research (6), 2401058-2401058, 2011

    The Japan Society of Plasma Science and Nuclear Fusion Research

Codes

  • NII Article ID (NAID)
    130002059502
  • NII NACSIS-CAT ID (NCID)
    AA12346675
  • Text Lang
    ENG
  • Article Type
    journal article
  • Data Source
    IR  J-STAGE 
Page Top