The Equivalence between Time-dependent and Time-independent Formulations of Time Delay

摘要

The time-dependent and time-independent treatments of time delay in two body scattering are discussed and shown to be completely equivalent. It is also proved that no oscillating terms occur if the time delay operator is evaluated between smooth wavepackets. As a further result, some mathematical assumptions, used to derive the relation between time delay and the S-matrix in the time-dependent method, can be discarded.