Approximate resonance states in the semigroup decomposition of resonance evolution

Y. Strauss, L. P. Horwitz, A. Volovick

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10 Scopus citations


The semigroup decomposition formalism makes use of the functional model for C0 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.

Original languageEnglish
Article number123505
JournalJournal of Mathematical Physics
Issue number12
StatePublished - 1 Dec 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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