TY - JOUR
T1 - Huygens-Fresnel-Kirchhoff construction for quantum propagators with application to diffraction in space and time
AU - Goussev, Arseni
PY - 2012/1/18
Y1 - 2012/1/18
N2 - We address the phenomenon of diffraction of nonrelativistic 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 spatiotemporal 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.
AB - We address the phenomenon of diffraction of nonrelativistic 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 spatiotemporal 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.
UR - http://www.scopus.com/inward/record.url?scp=84856065586&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.85.013626
DO - 10.1103/PhysRevA.85.013626
M3 - Article
AN - SCOPUS:84856065586
SN - 1050-2947
VL - 85
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 013626
ER -