Two-space scattering theory

Dimitri R. Yafaev

Colston Chandler, Archie G. Gibson

Bernd Thaller

Eduard Prugovečki

Two-Hilbert space versions of the basic integral-representation formulas for wave and transition operators are derived within the framework of time-independent scattering theory. Multichannel scattering theory for state vectors as well as for statistical operators is presented in a two-Hilbert space formulation to which these formulas become applicable. This formulation stays valid when long-range interactions, for which renormalized wave operators exist, are present.

Jingfeng Liu, Ming Zhou, Zongfu Yu

A quantum scattering theory is developed for Fock states scattered by two-level systems in three-dimensional free space. It is built upon the one-dimensional scattering theory developed in waveguide quantum electrodynamics. The theory fully quantizes the incident light as Fock states and uses a non-perturbative method to calculate the scattering matrix.