[Table of Contents]

Plasma and Fusion Research

Volume 9, 3401033 (2014)

Regular Articles

Numerical Analysis of Quantum-Mechanical Non-Uniform E × B Drift
Shun-ichi OIKAWA, Wataru KOSAKA1) and Poh Kam CHAN1)
Faculty of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan
1)
Graduate School of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan
(Received 18 November 2013 / Accepted 28 February 2014 / Published 7 April 2014)

Abstract

We have numerically solved the two-dimensional time-dependent Schödinger equation for a magnetized proton in the presence of a uniform electric field and a nonuniform magnetic field with a gradient scale length of LB. It is shown that the particle mass and the electric field do not affect the time rate of variance change at which variance increases with time, and their characteristic times are of the order of LB/v0 sec with v0 being the initial particle speed.

Keywords

Schrödinger equation, E×B drift, uncertainty, uniform magnetic field, magnetic length, quantum mechanical effect

DOI: 10.1585/pfr.9.3401033

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This paper may be cited as follows:

Shun-ichi OIKAWA, Wataru KOSAKA and Poh Kam CHAN, Plasma Fusion Res. 9, 3401033 (2014).