＜正＞ Quantization of damped systems usually gives rise to complex spectra and corresponding resonant states,which do not belong to the Hilbert space.Therefore,the standard form of calculating Wigner function（WF）does notwork for these systems.In this paper we show that in order to let WF satisfy a *-genvalue equation for the dampedsystems,one must modify its standard form slightly,and this modification exactly coincides with the results derivedfrom a *-Exponential expansion in deformation quantization.
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