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 contribution||Asymptotics of the many-whirls representation for Aharonov–Bohm scattering|
|Pages (from-to)||1 - 9|
|Number of pages||9|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - Aug 2010|