Abstract
The phenomenon of wavepacket diffraction in space and time is described. It consists in a diffraction pattern whose spatial location progresses with time. The pattern is produced by wavepacket quantum scattering off an attractive or repulsive time-independent potential. An analytical formula for the pattern at t → ∞ 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.
Original language | English |
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Pages (from-to) | 6465-6480 |
Number of pages | 16 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 34 |
Issue number | 33 |
DOIs | |
State | Published - 24 Aug 2001 |