An effective Hamiltonian describing AC effect for electrons in electromagnetic field isderired and a factor of 1/2 over Anaronov-Casher Hamiltonian is obtained. Based on an exactsecond guantized Hamiltonian of non-interacting electron gas in the mesoscopic ring mixed withAB
AC effect
analytic solutions for energy eigenvalues
the persistent current and Dersistentspin curreut are obtained It is shown that AC effect is extremely important for electrons in somesemiconductors applied with intense electric field.