  The scattering amplitude of a charged particle from a long hard cylinderical
solenoid is derived by solving the time independent Schr\"{o}dinger equation on
a double connected plane. It is a summation over the angular momentum quantum
number (partial wave summation). It is shown that only negative mechanical
angular momenta contribute to the amplitude when the radius of the solenoid
goes to zero limit without varying the magnetic induction flux (Flux line).
Original Aharonov-Bohm result is obtained with this limit.
