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Chinese Physics Letters

Rederivation of AB Scattering Cross Section by the Method of Path Integration

Gu Zhi-Yu, Yuan Xie, Bowen Huang, Shangwu Qian

Published Apr 1, 1993• 0 citations
Publisher

Abstract

Taking advantage of the calculation based on the original fundamental ideas of Aharonov and Bohm (AB) on the one hand, and making some necessary revisions on the other hand, this paper rederives the famous AB scattering cross section from the known propagator by the path integral method.
DOI
10.1088/0256-307x/10/4/002

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The Aharonov-Bohm (AB) equation is reformulated by means of the gauge transformation. A scattering theoretical approach yields an integral equation of the form of Kirchhoff-Huygens. The method to solve this equation is analogous to the one previously used to study the dislocation mediated AB effect. It is reconfirmed that the shadow of the magnetic-flux filament appears in the down stream of the electronic flux. Expression for the large angle scattering obtained by AB is improved and the present expression is shown to agree with numerical solution.