Time delay is a common feature of quantum scattering theory

TL;DR

This paper demonstrates that the concept of time delay, defined via sojourn times and its equivalence with Eisenbud-Wigner time delay, is universally applicable across various quantum scattering models in a model-independent manner.

Contribution

It proves the generality and model-independence of time delay concepts in quantum scattering theory, establishing their fundamental nature.

Findings

Time delay defined via sojourn times is universally valid.

Time delay is equivalent to Eisenbud-Wigner time delay in quantum scattering.

Results are model-independent, applying broadly across quantum scattering models.

Abstract

We prove that the existence of time delay defined in terms of sojourn times, as well as its identity with Eisenbud-Wigner time delay, is a common feature of two Hilbert space quantum scattering theory. All statements are model-independent.