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

Goussev, Arseni (2012) Huygens-Fresnel-Kirchhoff construction for quantum propagators with application to diffraction in space and time. Physical Review A, 85. 013626. ISSN 1050-2947

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Official URL: http://dx.doi.org/10.1103/PhysRevA.85.013626

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.

Item Type: Article
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Arseni Goussev
Date Deposited: 10 Oct 2012 13:34
Last Modified: 16 May 2017 03:42
URI: http://nrl.northumbria.ac.uk/id/eprint/9554

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