Generalized definition of time delay in scattering theory

Details Generalized definition of time delay in scattering theory Generalized definition of time delay in scattering theory

2006-09-15

arxiv.org/abs/math-ph/0609044v1

Physics

Mathematical Physics

18 pages

Scientific paper

10.1063/1.2816255

We advocate for the systematic use of a symmetrized definition of time delay in scattering theory. In two-body scattering processes, we show that the symmetrized time delay exists for arbitrary dilated spatial regions symmetric with respect to the origin. It is equal to the usual time delay plus a new contribution, which vanishes in the case of spherical spatial regions. We also prove that the symmetrized time delay is invariant under an appropriate mapping of time reversal. These results are also discussed in the context of classical scattering theory.

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