Wigner Functions for Non-Hamiltonian Systems on Noncommutative Space
HENG Tai-Hua1, LIN Bing-Sheng2, JING Si-Cong2
1School of Physics and Material Science, Anhui University, Hefei 2300392Department of Modern Physics, University of Science and Technology of China, Hefei 230026
Wigner Functions for Non-Hamiltonian Systems on Noncommutative Space
HENG Tai-Hua1, LIN Bing-Sheng2, JING Si-Cong2
1School of Physics and Material Science, Anhui University, Hefei 2300392Department of Modern Physics, University of Science and Technology of China, Hefei 230026
摘要We propose a modified form of Wigner functions for generic non-Hamiltonian systems on noncommutative space and prove that it satisfies the corresponding *-genvalue equation. In addition, as an example, we derive exact energy spectra and Wigner functions for a non-Hamiltonian toy model on the noncommutative space.
Abstract：We propose a modified form of Wigner functions for generic non-Hamiltonian systems on noncommutative space and prove that it satisfies the corresponding *-genvalue equation. In addition, as an example, we derive exact energy spectra and Wigner functions for a non-Hamiltonian toy model on the noncommutative space.
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2008, Vol. 25 
