Elementary Aharonov-Bohm system in three space dimensions: Quantum attraction with no classical force

Alfred Scharff Goldhaber*, Ryan Requist

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The two-body Aharonov-Bohm (AB) problem was addressed in three dimensions, where the simplest system, possessing the fewest degrees of freedom, consists of a charged particle interacting with a rigid circular hoop of magnetic flux. Qualitative features of the interaction were examined. A simple proof precluding the existence of a bound state but anticipating a resonance was detailed. Furthermore, the feasibility of detecting the resonance for a system consisting of a carbon nanotube bent into a circle, interacting with a heavy charged particle was shown.

Original languageEnglish
Article number012109
Pages (from-to)012109/1-012109/7
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume68
Issue number1
StatePublished - Jul 2003
Externally publishedYes

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