Abstract
The Wigner time delay function was proposed by Wigner in 1955 for a single scattering channel and was extended by Smith in 1960 to the multichannel case. The semiclassical expansion of the Wigner time delay was developed by Balian and Bloch (1974). Several results on the semiclassical expansion of the time delay and on the Wigner time delay in stochastic scattering have been developed recently. In particular, results related to the Wigner time delay for scattering theory in the leaky tori model are reviewed in this chapter.
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