On the scattering amplitude in the Aharonov-Bohm gauge field
Paola Giacconi, Fabio Maltoni, Roberto Soldati
TL;DR
This paper derives a comprehensive formula for the scattering amplitude of nonrelativistic spinless particles in the Aharonov-Bohm gauge field, applicable across all directions and boundary conditions, advancing understanding of quantum scattering phenomena.
Contribution
It provides a general expression for the scattering amplitude in the Aharonov-Bohm effect, valid for all directions and boundary conditions, within a time-independent framework.
Findings
Derived a universal scattering amplitude formula
Applicable to all scattering directions including backward and forward
Valid for any boundary condition at the flux tube
Abstract
A general expression for the scattering amplitude of nonrelativistic spinless particles in the Aharonov-Bohm gauge potential is obtained within the time independent formalism. The result is valid also in the backward and forward directions as well as for any choice of the boundary conditions on the wave function at the flux tube position.
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