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Wigner function for damped systems

Mathematical Physics 2007-05-23 v1 math.MP Quantum Physics

Abstract

Both classical and quantum damped systems give rise to complex spectra and corresponding resonant states. We investigate how resonant states, which do not belong to the Hilbert space, fit the phase space formulation of quantum mechanics. It turns out that one may construct out of a pair of resonant states an analog of the stationary Wigner function.

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Cite

@article{arxiv.math-ph/0209008,
  title  = {Wigner function for damped systems},
  author = {D. Chruscinski},
  journal= {arXiv preprint arXiv:math-ph/0209008},
  year   = {2007}
}

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18 pages