Numerical Analysis of Quantum Mechanical ∇B Drift
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We have solved the two-dimensional time-dependent Schrödinger equation for a single particle in the presence of a nonuniform magnetic field for initial speeds of 10-100 m/s. By linear extrapolation, it is shown that the variance, or the uncertainty, in position would reach the square of the interparticle separation n<sup>−2/3</sup> with a number density of n = 10<sup>20</sup> m<sup>−3</sup> in a time interval of the order of 10<sup>−4</sup> sec. After this time the wavefunctions of neighboring particles would overlap, as a result the conventional classical analysis may lose its validity: Plasmas may behave more-or-less like extremely-low-density liquids, not gases, since the size of each particle is of the same order of the interparticle separation.
- Plasma and Fusion Research
Plasma and Fusion Research (6), 2401058-2401058, 2011
The Japan Society of Plasma Science and Nuclear Fusion Research