Time delay for dispersive systems in quantum scattering theory. I. The Friedrichs model

2008/04/08 by de Aldecoa, Rafael Tiedra
#35Q40 #46N50 #81Q10 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0804.1349

Abstract

We present a method for proving the existence of time delay (defined in terms of sojourn times) as well as its identity with Eisenbud-Wigner time delay in the case of the Friedrichs model. We show that this method applies to scattering by finite rank potentials.

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