On the basis of the charge discreteness, the quantum fluctuations fo the charge, current and energy in the mesoscopic metal dual rings are calculated by the minimum shift operator.

The dielectric property of dispersive media is written as rational polynomial function, the relation between D and E is derived in time domain. It is named shift operator FDTD (SO-FDTD) method.

Each operator would retrieve the updated customer and order information for that one area code at the start of the shift.