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Oscillating Decay of an Unstable System |
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| Authors: | I Antoniou E Karpov G Pronko E Yarevsky |
| Institution: | (1) International Solvay Institutes for Physics and Chemistry, Brussels, Belgium;(2) Institute for High Energy Physics, Protvino, Moscow, Russia;(3) Laboratory of Complex Systems Theory, Institute for Physics, St. Petersburg State University, St. Petersburg, Russia |
| Abstract: | 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. |
| Keywords: | unstable system non-exponential decay resonances Friedrichs model |
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