Abstract
A wave packet theory of scattering is presented in which time delay (or advance) phenomena are discussed. We start from the wave packet: ,P-+JGeia(eiAt+geii1eilrjr)e-iEtJt.dE (G, a, g and {3 being real functions of the energy E.). gexp(i/3) is the scattering amplitude. For elastic scattering it is shown that the observable delay time for incident beams with nearly monochromatic energy E is just half of Wigner's definition of delay time and F. T. Smith's collision lifetime, if the phase a(E) of the incident wave packet is a linear function of energy. How ever, this assumption is largely violated under certain experimental conditions; hence the delay time is not always given in terms of the scattering matrix elements only. This fact limits the hope that the S-matrix alone can give a space-time description of collision events_ The general formula of delay time <Jt) has the following form:
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