Signal transmission on lossy lines as a dissipative quantum state propagation

Abstract

The transmission of electric signals on a coupled line with distributed RLC-parameters is considered as a propagation of a dissipative quasi particle. A calculation technique is developed, alternative to the one, accepted for lumped lines. The relativistic wave equation for the transient response is deduced following the common Ohm-low-type considerations. The exact expressions for the Green function, for information transfer velocity and for time delay are obtained on this base. The fundamental restrictions on the measurement accuracy of the time delay are pointed out. The obtained results are naturally generalized for the multilevel networks of the arbitrary dimension.