Modified Form of Wigner Functions for Non-Hamiltonian Systems
HENG Tai-Hua1, LI Ping2, JING Si-Cong1
1Department of Modern Physics, University of Science and Technology of China, Hefei 230026
2School of Science, Hefei University of Technology, Hefei 230039
Modified Form of Wigner Functions for Non-Hamiltonian Systems
HENG Tai-Hua1;LI Ping2;JING Si-Cong1
1Department of Modern Physics, University of Science and Technology of China, Hefei 230026
2School of Science, Hefei University of Technology, Hefei 230039
摘要Quantization of non-Hamiltonian systems (such as damped systems) often gives rise to complex spectra and corresponding resonant states, therefore a standard form calculating Wigner functions cannot lead to static quasi-probability distribution functions. We show that a modified form of the Wigner functions satisfies a *-genvalue equation and can be derived from deformation quantization for such systems.
Abstract：Quantization of non-Hamiltonian systems (such as damped systems) often gives rise to complex spectra and corresponding resonant states, therefore a standard form calculating Wigner functions cannot lead to static quasi-probability distribution functions. We show that a modified form of the Wigner functions satisfies a *-genvalue equation and can be derived from deformation quantization for such systems.
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2007, Vol. 24 
