Affiliations: [a] Graduate School of Engineering, Hokkaido University, Sapporo, Japan | [b] Faculty of Engineering, Hokkaido University, Sapporo, Japan
Correspondence:
[*]
Corresponding author: Wataru Kosaka, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan. E-mail:wataru_k@fusion.qe.eng.hokudai.ac.jp
Abstract: 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.
Keywords: Schrödinger equation, uncertainty, non-uniform magnetic field, non-uniform electric field, quantum mechanical effect, expansion rate, GPU parallel computing
