Huygens-Fresnel-Kirchhoff construction for quantum propagators with application to diffraction in space and time

Arseni Goussev

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)
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Abstract

We address the phenomenon of diffraction of non-relativistic matter waves on openings in absorbing screens. To this end, we expand the full quantum propagator, connecting two points on the opposite sides of the screen, in terms of the free particle propagator and spatio-temporal properties of the opening. Our construction, based on the Huygens-Fresnel principle, describes the quantum phenomena of diffraction in space and diffraction in time, as well as the interplay between the two. We illustrate the method by calculating diffraction patterns for localized wave packets passing through various time-dependent openings in one and two spatial dimensions.
Original languageEnglish
Pages (from-to)013626
JournalPhysical Review A
Volume85
DOIs
Publication statusPublished - 18 Jan 2012

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