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Resonant states and classical damping

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

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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Cite

@article{arxiv.math-ph/0206009,
  title  = {Resonant states and classical damping},
  author = {Dariusz Chruscinski},
  journal= {arXiv preprint arXiv:math-ph/0206009},
  year   = {2007}
}

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15 pages