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Numerical Analysis of Quantum Mechanical ∇B Drift III

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/53687

Title: Numerical Analysis of Quantum Mechanical ∇B Drift III
Authors: Oikawa, Shun-ichi Browse this author →KAKEN DB
Chan, Poh Kam Browse this author
Okubo, Emi Browse this author
Keywords: grad-B drift
magnetic length
Landau state
quantum mechanical scattering
plasma
diffusion
expansion time
expansion rate of variance
Issue Date: 2013
Journal Title: Plasma and Fusion Research
Volume: 8
Start Page: 2401142-1
End Page: 2401142-4
Publisher DOI: 10.1585/pfr.8.2401142
Abstract: We have solved the two-dimensional time-dependent Schrödinger equation for a single particle in the presence of a non-uniform magnetic field for initial speed of 8 - 100m/s, mass of the particle at 1 - 10mp, where mp is the mass of a proton. Magnetic field at the origin of 5 - 10 T, 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. Previously, we found out that the variance, or the uncertainty, in position can be expressed as dσ2r/dt = 4.3 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 research, it was numerically found that the variance, or the uncertainty, in total momentum can be expressed as dσ2P/dt = 0.57 qB0v0/LB. In this expression, we found out that mass, m does not affect both our newly developed expression for uncertainty in position and total momentum.
Relation: http://www.jspf.or.jp/PFR/index.html
Type: article
URI: http://hdl.handle.net/2115/53687
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 及川 俊一

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