SENSITIVITY ANALYSIS IN TIME-DEPENDENT QUANTUM SCATTERING-THEORY

We introduce a sensitivity analysis which is framed within time-depend ent quantum scattering theory. By making use of certain properties of the evolution operator we are able to identify an attractive result fo r the first-order sensitivity of the state-to-state transition probabi lity with respect to the variation of an arbitrary input parameter. Th e result involves forward- and backward-propagated wavepacket vectors which are accumulated in time with the parameter derivative of the sys tem Hamiltonian matrix.