 06355 Y. Strauss, L.P. Horwitz, A. Volovick
 Approximate resonance states in the semigroup decomposition of resonance evolution
(585K, PDF)
Dec 4, 06

Abstract ,
Paper (src),
View paper
(auto. generated pdf),
Index
of related papers

Abstract. The semigroup decomposition formalism makes use of the functional model for $C_{\cdot 0}$ 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 deines a decomposition of matrix elements of the evolution into a term evolving according to a semigroup law and a backgrouond term. We discuss the case of multiple resonances and give a bound on the size of the backgrouond term. As an example we treat a simple problem of scattering from a square barrier potential on a halfline.
 Files:
06355.src(
06355.keywords ,
sem_dec_rhs27.pdf.mm )