Journal of Mathematical Physics

Multichannel stationary scattering theory in two-Hilbert space formulation

Eduard Prugovečki

Published Jul 1, 1973• 27 citations

Abstract

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.

DOI: 10.1063/1.1666422

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