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Using the linear response theory and random phase approximation,we develop a general dynamic electron transport theory for multiprobe mesoscopic structures in an arbitrarily time-dependent exteal field.In this case,the responses of the dynamic current,charge and inteal potential to the exteal fields can be determined self-consistently.Without loss of generality,charge (current) conservation and gauge invariance under a potential shift are satisfied.As an example,we employ a quantum wire with a single ...","Using the linear response theory and random phase approximation,we develop a general dynamic electron transport theory for multiprobe mesoscopic structures in an arbitrarily time-dependent exteal field.In this case,the responses of the dynamic current,charge and inteal potential to the exteal fields can be determined self-consistently.Without loss of generality,charge (current) conservation and gauge invariance under a potential shift are satisfied.As an example,we employ a quantum wire with a single barrier to discuss the response of the inteal potential.