Time of scattering in the one-dimensional inelastic tunnelling

Summary The various definitions for time of tunnelling across a barrier in one dimension, that have been introduced in the elastic case and discussed by Buttiker and various authors, are here extended allowing for inelastic losses to occur inside the barrier. The framework of a multichannel scattering theory is here used. Their relevance to inelastic tunnelling and resonant tunnelling is critically analysed. Results are reported for the average delay time of eq. (24) in the case of an inelastic point interaction with a harmonic oscillator inside the barrier. To speed up publication, the author of this paper has agreed to not receive the proofs for correction.