Physics – Quantum Physics
Scientific paper
2000-08-17
J.Phys.A34:6465-6480,2001
Physics
Quantum Physics
replaces quant-ph 0008077, 0008107, Journal of physics, A, in press
Scientific paper
10.1088/0305-4470/34/33/311
The phenomenon of wave packet diffraction in space and time is described. It consists in a diffraction pattern whose spatial location progresses with time. The pattern is produced by wave packet quantum scattering off an attractive or repulsive time independent potential. An analytical formula for the pattern at $t\to\infty$ is derived both in one dimension and in three dimensions. The condition for the pattern to exist is developed. The phenomenon is shown numerically and analytically for the Dirac equation in one dimension also. An experiment for the verification of the phenomenon is described and simulated numerically.
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