open access

https://hdl.handle.net/2115/49212

Numerical Analysis of Quantum Mechanical ∇B Drift II

英語

expansion rate of variance

2012-05

The Japan Society of Plasma Science and Nuclear Fusion Research

Plasma and Fusion Research

7(Special Issue 1)

2401034-1-2401034-4

This article is based on the presentation at the 21st International Toki Conference (ITC21)

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.

学術雑誌論文

Version of Record

1880-6821

AA12346675