Diffraction of wavepackets in space and time

G. Kälbermann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

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 languageEnglish
Pages (from-to)6465-6480
Number of pages16
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number33
DOIs
StatePublished - 24 Aug 2001

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