Generalized Wigner functions for damped systems in deformation quantization

作者：Heng Tai Hua^*; Jing Si Cong

来源：Communications in Theoretical Physics, 2007, 48(2): 255-260.

• Wigner function
• damped system
• deformation quantization

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 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.

• 出版日期2007-8-15
• 单位中国科学技术大学