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Partial wave Analysis of the First Order Born Amplitude of a Dirac Particle in an Aharonov-Bohm Potential

M. S. Shikakhwa·N. K. Pak
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Abstract

A partial wave analysis using the basis of the total angular momentum operator J_3 is carried out for the first order Born amplitude of a Dirac particle in an Aharonov-Bohm (AB)potential. It is demonstrated that the s-partial wave contributes to the scattering amplitude in contrast to the case with scalar non-relativistic particles.We suggest that this explains the fact that the first order Born amplitude of a Dirac particle coincides with the exact amplitude expanded to the same order, where it does not for a scalar particle. An interesting algebra involving the Dirac velocity operator and the angular observables is discovered and its consequences are exploited.

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M. S. Shikakhwa, N. K. Pak. 2003-02-20. Partial wave Analysis of the First Order Born Amplitude of a Dirac Particle in an Aharonov-Bohm Potential. https://doi.org/10.1103/physrevd.67.105019

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