A transmission line model for the free electron-positron field

The progressive reduction in size of electronic components demands more and more a quantum treatment of their internal performance. On the other hand the macroscopic devices in which they are imbedded unavoidably requires a description in terms of macroscopic, usually electromagnetic quantities. The convenience follows of having at one´s disposal integrated models describing the complete performance in electromagnetic terms. In this paper we show how the free electron-positron dynamics can be described by an equivalent transmission line.