@article{2c60ecfdcc3245b3aa0e06f41bf7994b,

title = "Approximate resonance states in the semigroup decomposition of resonance evolution",

abstract = "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.",

author = "Y. Strauss and Horwitz, {L. P.} and A. Volovick",

note = "Funding Information: The work of Y.S. was partially supported by ISF under Grants No. 1282/05 and No. 188/02, and by the Center for Advanced Studies in Mathematics at Ben-Gurion University and the Edmond Landau Center for research in Mathematical Analysis and related areas, sponsored by the Minerva Foundation (Germany).",

year = "2006",

doi = "10.1063/1.2383069",

language = "אנגלית",

volume = "47",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "12",

}