ON THE ONE-DIMENSIONAL SCATTERING BY TIME-PERIODIC POTENTIALS - GENERAL-THEORY AND APPLICATION TO 2 SPECIFIC MODELS

A comprehensive introduction to the basic formalism of the one-dimensi onal scattering by time-periodic short-ranged potentials is presented. The fundamental objects of the theory (transmission and reflexion pro babilities, sidebands and time delays) are defined, and a generalized Born expansion derived. Particular emphasis is given to the connection between the time-dependent approach and the quasi-stationary one. In particular, the independence of the scattering process of the choice o f time-origin, in the limit of a monoenergetic wave packet, is clearly established. The generalized Born expansion is applied to two archety pical models: the square barrier with modulated height (the celebrated Buttiker-Landauer model) and the square barrier with oscillating posi tion. For these two models, the full transmission probability is calcu lated up to the first nonvanishing correction in the time-dependent pe rturbation.