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- W3104846324 abstract "The semigroup decomposition formalism makes use of the functional model for C∙0 class contractive semigroups for the description of the time evolution of resonances. For a given scattering problem the formalism allows for the association of a definite Hilbert space state with a scattering resonance. This state defines a decomposition of matrix elements of the evolution into a term evolving according to a semigroup law and a background term. We discuss the case of multiple resonances and give a bound on the size of the background term. As an example we treat a simple problem of scattering from a square barrier potential on the half-line." @default.
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- W3104846324 date "2006-12-01" @default.
- W3104846324 modified "2023-09-23" @default.
- W3104846324 title "Approximate resonance states in the semigroup decomposition of resonance evolution" @default.
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- W3104846324 doi "https://doi.org/10.1063/1.2383069" @default.
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