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Numerical Analysis of Quantum Mechanical ∇B Drift III
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)
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Submitter: 及川 俊一
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