Plasma and Fusion Research
Online ISSN : 1880-6821
ISSN-L : 1880-6821
Regular Articles
Numerical Analysis of Quantum Mechanical ∇B Drift III
Shun-ichi OIKAWAPoh Kam CHANEmi OKUBO
Author information
JOURNALS FREE ACCESS

2013 Volume 8 Pages 2401142

Details
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 - 100 m/s, mass of the particle at 1 - 10 mp, 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 = 4.3ħv0/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 = 0.57ħqB0v0/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.

Information related to the author
© 2013 by The Japan Society of Plasma Science and Nuclear Fusion Research
Previous article Next article
feedback
Top