We have numerically solved the two-dimensional time-dependent Schrödinger equation for a charged particle in the presence of a non-uniform electric field E = E ≤(1- y / L_E ) e_y as well as a non-uniform magnetic field B = B ≤(1- y / L_B ) e_z. It is shown that such a non-uniformity of the electric field does not affect the time rate of the variance, or uncertainty, changes in position and momentum, while that of the magnetic field does.
OikawaS., KosakaW. and ChanP.K., Plasma Fusion Res9 (2014), 3401033.
2.
OikawaS. and ChanP.K., Plasma Fusion Res8 (2013), 2401142.
3.
ChanP.K., OikawaS. and OkuboE., Plasma Fusion Res7 (2012), 2401034.
4.
OikawaS., OkuboE. and ChanP.K., Plasma Fusion Res7 (2012), 2401106.
5.
OikawaS., ShimazakiT. and OkuboE., Plasma Fusion Res6 (2011), 2401058.
6.
NatoriH. and MunehisaT., J Phys Soc Jpn66 (1997), 351-359.
7.
SakuraiJ.J., Modern Quantum Mechanics, Rev. ed., (Addison-Wesley, Reading, 1994).
8.
LandauL.D. and LifshitzE.M., Quantum Mechanics: Non-relativistic Theory, 3rd ed., translated from the Russian by J. B. Sykes and J. S. Bell (Pergamon Press, Oxford, 1977).
9.
http://www.nvidia.com.
10.
HubaJ.D., ``NRL PLASMA FORMULARY'', Naval Research Laboratory, 2013.