Theorem: AB periodicity I(Phi + Phi_0) - I(Phi) = 0 for I(Phi) = cos(2 pi Phi / Phi_0)

Theorem (Aharonov-Bohm periodicity canonical): for I(Phi) = cos(2 pi Phi / Phi_0), the difference I(Phi + Phi_0) - I(Phi) simplifies exactly to 0, establishing fundamental-period Phi_0 = h/e flux periodicity of the mesoscopic ring's…