Generalized Wigner Functions for Damped Systems in Deformation Quantization |
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Authors: | HENG Tai-Hua and JING Si-Cong |
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Institution: | Department of Modern Physics, University of Science and
Technology of China, Hefei 230026, China |
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Abstract: | 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 not work for these systems. In this paper we show that in order to let WF satisfy a *-genvalue equation
for the damped systems, one must modify its standard form slightly,
and this modification exactly coincides with the results derived
from a *-Exponential expansion in deformation quantization. |
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Keywords: | Wigner function damped system deformation quantization |
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