Aharonov and Bohm constructed a wave function describing scattering of electrons by an impenetrable solenoid, from which they derived a cross section of the form dσ/dϑ = g (ϑ)sin2(πα), where ϑ is the scattering angle and α is a coupling constant. A simplified version of their work is presented, together with an attempt to obtain by Born approximation the approximate expression dσ/dϑ ? g (ϑ) π2α2 small α. It is explained why such an attempt is unsuccessful.
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Corinaldesi et al. (1978) studied this question.
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