Finite length of the solenoid and the Aharonov-Bohm effect
A.I. Milstein, I.S. Terekhov
TL;DR
This paper investigates electron scattering on a finite-length solenoid, revealing a finite total cross section and observable asymmetry, contrasting with the infinite solenoid case of the Aharonov-Bohm effect.
Contribution
It provides a detailed analysis of scattering on a finite solenoid, showing finite cross sections and asymmetries not present in the idealized infinite case.
Findings
Total scattering cross section is finite for finite-length solenoid.
An asymmetry in the scattering cross section is observed.
Differences from the infinite solenoid Aharonov-Bohm effect are demonstrated.
Abstract
The scattering of a nonrelativistic electron on a narrow solenoid of finite length is considered. In this case, the magnetic field outside the solenoid is not zero. Using the eikonal approximation, the differential and total cross sections of the process are found. It is shown that the total cross section is finite, in contrast to the case of scattering on an infinitely long solenoid (Aharonov-Bohm effect). An asymmetry in the scattering cross section is also found, which can be observed in an experiment.
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