Yilmaz, O.2025-01-272025-01-2720140577-9073https://doi.org/10.6122/CJP.52.1203https://hdl.handle.net/20.500.12428/28930The scattering amplitude f(k) (alpha, 0) of a charged particle from a long hard cylindrical solenoid is derived by solving the time independent Schrodinger equation on a double connected plane. The amplitude is expressed by a summation over the angular momentum quantum number m (partial wave summation). It is shown that only negative mechanical angular momenta, m + alpha < 0, contribute to the amplitude when the radius of the solenoid goes to the zero limit (alpha -> 0) without varying the magnetic induction flux alpha = Phi(B)/Phi(0) (flux line). The original Aharonov-Bohm result is obtained with this limit.eninfo:eu-repo/semantics/closedAccessArticle5241203121710.6122/CJP.52.1203Q4WOS:0003454048000032-s2.0-84908239623Q1