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

Abstract

As a consequence of the Aharonov-Bohm effect, there is a quantum-induced attraction between a charged particle and a rigid, impenetrable hoop made from an arbitrarily thin tube containing a superconductor quantum of magnetic flux. This is remarkable because in classical physics there is no force between the two objects, and quantum-mechanical effects (associated with uncertainty-principle energy) generally are repulsive rather than attractive. For an incident spinless charged particle in a P wave (in a configuration with total angular momentum zero) we verify a resonance just above threshold using the Kohn variational principle in its S-matrix form. Even if optimistic choices of parameters describing a model system with these properties were feasible, the temperature required to observe the resonance would be far lower than has yet been attained in the laboratory.

Original languageAmerican English
Pages (from-to)7
Number of pages1
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume68
Issue number1
DOIs
StatePublished - 2003
Externally publishedYes

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