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Title
  • en Numerical Analysis of Quantum Mechanical ∇B Drift II
Creator
    • en Chan, Poh Kam
    • en Okubo, Emi
Accessrights open access
Subject
  • Other en grad-B drift
  • Other en magnetic length
  • Other en Landau state
  • Other en quantum mechanical scattering
  • Other en plasma
  • Other en diffusion
  • Other en expansion time
  • Other en expansion rate of variance
Description
  • Other en This article is based on the presentation at the 21st International Toki Conference (ITC21)
  • Abstract en We have solved the two-dimensional time-dependent Schr¨odinger equation for a single particle in the presence of a non-uniform magnetic field for initial speed of 10–100m/s, mass of the particle at 1–10mp, where mp is the mass of a proton. Magnetic field at the origin of 5–10T, charge of 1–4 e, where e is the charge of the particle and gradient scale length of 2.610 × 10−5–5.219 m. It was numerically found that the variance, or the uncertainty, in position can be expressed as dσ2r /dt = 4.1 v0/qB0LB, where m is the mass of the particle, q is the charge, v0 is the initial speed of the corresponding classical particle, B0 is the magnetic field at the origin and LB is the gradient scale length of the magnetic field. In this expression, we found out that mass, m does not affect our newly developed expression.
Publisher en The Japan Society of Plasma Science and Nuclear Fusion Research
Date
    Issued2012-05
Language
  • eng
Resource Type journal article
Version Type VoR
Identifier HDL http://hdl.handle.net/2115/49212
Relation
  • URI http://www.jspf.or.jp/PFR/index.html
  • isIdenticalTo DOI https://doi.org/10.1585/pfr.7.2401034
Journal
    • EISSN 1880-6821
    • NCID AA12346675
      • en Plasma and Fusion Research
      • Volume Number7 Issue Number1 Page Start2401034-1 Page End2401034-4
File
Oaidate 2023-07-26