Pa. Martin et Ms. Debianchi, ON THE LOW-FREQUENCY AND HIGH-FREQUENCY LIMIT OF QUANTUM SCATTERING BY TIME-DEPENDENT POTENTIALS, Journal of physics. A, mathematical and general, 28(8), 1995, pp. 2403-2427
Using time-dependent methods, we study the scattering of a quantum mec
hanical particle by short-range potentials with very slow or very fast
periodic variations in time. The low- and high-frequency limits are d
erived as well as their first non-vanishing corrections, and their phy
sical significance discussed.