The Aharonov-Bohm effect in conical space

TL;DR

This paper investigates the quantum scattering of particles in conical space caused by vortex defects, revealing unique effects and paradoxes in the short-wavelength limit relevant to topological defects.

Contribution

It introduces a detailed analysis of quantum scattering in conical space, including vortex size effects and peculiar short-wavelength behaviors, advancing understanding of topological defect impacts.

Findings

Quantum scattering exhibits unique features in conical space.

Short-wavelength limit reveals paradoxical scattering behaviors.

Vortex size significantly influences scattering outcomes.

Abstract

Conical space emerges inevitably as an outer space of any topological defect of the vortex type. Quantum-mechanical scattering of a nonrelativistic particle by a vortex centred in conical space is considered, and effects of the transverse size of the vortex are taken into account. Paradoxical peculiarities of scattering in the short-wavelength limit are discussed.