We study the medium-time behavior of the survival probability in the frame of the N-level Friedrichs model. The time evolution of an arbitrary unstable initial state is determined. We show that the survival probability may oscillate significantly during the so-called exponential era. This result explains qualitatively the experimental observations of the NaI decay. The Gamow states for N-level Friedrichs model are constructed. The time evolution in terms of the complex spectral representation including the Gamow states is discussed.

Original languageEnglish
Pages (from-to)2403-2421
Number of pages19
JournalInternational Journal of Theoretical Physics
Volume42
Issue number10
DOIs
StatePublished - 1 Oct 2003

    Research areas

  • Friedrichs model, Non-exponential decay, Resonances, Unstable system

    Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

ID: 36537259