Semi-classical scattering in two dimensions

Abstract

The semi-classical limit of quantum-mechanical scattering in two dimensions (2D) is developed. We derive the Wentzel-Kramers-Brillouin and Eikonal results for 2D scattering. No backward or forward glory scattering is present in 2D. Other phenomena, such as rainbow or orbiting do show up.

6 pages

References in corpus (1)

• Theory of near-field matter wave interference beyond the eikonal approximation

Cited by in corpus (7)

• Resonances of a rotating black hole analogue
• 2-Dimensional Dipolar Scattering
• Scattering by a draining bathtub vortex
• Adiabatic Approximation, Semiclassical Scattering, and Unidirectional Invisibility
• Gravitational Caustics in an Atom Laser
• Propagating-wave approximation in two-dimensional potential scattering
• Aspects of arbitrarily oriented dipoles scattering in plane: short-range interaction influence