Asymptotics of the many-whirls representation for Aharonov–Bohm scattering

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)

Abstract

The previously derived decomposition of the Aharonov–Bohm (AB) wavefunction, into 'whirling waves' that wind different numbers of times round the flux line, is studied in detail. Asymptotic approximations are derived, describing many windings, far from the flux, and near the forward direction where the incident and scattered waves cannot be separated. The many-whirls representation gives insight into elementary explanations of the AB in terms of interference between waves passing on either side of the flux; three whirling waves suffice to give a very accurate description of the AB wave.
Translated title of the contributionAsymptotics of the many-whirls representation for Aharonov–Bohm scattering
Original languageEnglish
Pages (from-to)1 - 9
Number of pages9
JournalJournal of Physics A: Mathematical and Theoretical
Volume43
DOIs
Publication statusPublished - Aug 2010

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