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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 |
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| Cite this article: |
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HENG Tai-Hua, LI Ping, JING Si-Cong 2007 Chin. Phys. Lett. 24 592-595 |
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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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03.65.-w
03.65.Yz
05.30.-d
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Received: 01 December 2006
Published: 08 February 2007
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| PACS: |
03.65.-w
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(Quantum mechanics)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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05.30.-d
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(Quantum statistical mechanics)
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[3] Curtright T, Fairlie D and Zachos C 1998 Phys. Rev. D 58 025002
[4] Kossakowski A 2001 Open Sys. Information Dyn. 9 1 Chruscinski D Resonant States and Classical Dampingmath-ph/0206009
[5] Chruscinski D Wigner Function for DampedSystems math-ph/0209008
[6] Pontriagin L S et al 1962 The Mathematical Theory ofOptimal Processes (New York: Wiley)
[7] Baker G 1958 Phys. Rev. 109 2198
[8] Hirshfeld A and Henselder P 2002 Am. J. Phys. 70 537 |
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