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Numerical Analysis of Quantum Mechanical ∇B Drift II
| Title: | Numerical Analysis of Quantum Mechanical ∇B Drift II |
| Authors: | Chan, Poh Kam Browse this author | | Oikawa, Shun-ichi Browse this author →KAKEN DB | | 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: | May-2012 |
| Publisher: | The Japan Society of Plasma Science and Nuclear Fusion Research |
| Journal Title: | Plasma and Fusion Research |
| Volume: | 7 |
| Issue: | Special Issue 1 |
| Start Page: | 2401034-1 |
| End Page: | 2401034-4 |
| Publisher DOI: | 10.1585/pfr.7.2401034 |
| Abstract: | 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. |
| Description: | This article is based on the presentation at the 21st International Toki
Conference (ITC21) |
| Relation: | http://www.jspf.or.jp/PFR/index.html |
| Type: | article |
| URI: | http://hdl.handle.net/2115/49212 |
| 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)
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Submitter: 及川 俊一
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