Single and double slit scattering of wave packets

Abstract

The scattering of wave packets from a single slit and a double slit with the Schrödinger equation, is studied numerically and theoretically. The phenomenon of diffraction of wave packets in space and time in the backward region, previously found for barriers and wells, is encountered here also. A new phenomenon of forward diffraction that occurs only for packets thiner than the slit, or slits, is calculated numerically as well as, in a theoretical approximation to the problem. This diffraction occurs at the opposite end of the usual diffraction phenomena with monochromatic waves.

Latex format, 35 pages, 15 eps (some colored) figures

References in corpus (2)

• Diffraction of wave packets in space and time
• Wavepacket diffraction in the Kronig-Penney model

Cited by in corpus (4)

• Huygens-Fresnel-Kirchhoff construction for quantum propagators with application to diffraction in space and time
• Three-dimensional Quantum Slit Diffraction and Diffraction in Time
• On the applicability of Kolmogorov's theory of probability to the description of quantum phenomena. Part I: foundations
• A solution of the quantum time of arrival problem via mathematical probability theory