Resonant states and classical damping

Details Resonant states and classical damping Resonant states and classical damping

2002-06-07

arxiv.org/abs/math-ph/0206009v1

Open Sys. Information Dyn. 9 (2002) 207-221

Physics

Mathematical Physics

15 pages

Scientific paper

Using Koopman's approach to classical dynamical systems we show that the
classical damping may be interpreted as appearance of resonant states of the
corresponding Koopman's operator. It turns out that simple classical damped
systems give rise to discrete complex spectra. Therefore, the corresponding
generalized eigenvectors may be interpreted as classical resonant states.

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