[1] W. P. Schleich. Quantum optics in phase space [M]. Berlin: Wiley-VCH, 2001
[2] R. J. Glauber. Coherent and incoherent states of the radiation field [J]. Phys. Rev., 1963, 131(6): 2766～2788
[3] E.Wigner. On the quantum correction for thermodynamic equilibrium[J]. Phys.Rev., 1932, 40(5): 749～759
[4] G. M. D′Ariano, C. Macchiavello, M. G. A. Paris. Detectio of the density matrix through optical homodyne tomography without filtered back projection[J]. Phys. Rev. A,1994, 50(5): 4298～4302
[5] S. Wallentowitz, W. Vogel. Unbalanced homodyning for quantum state measurements [J]. Phys. Rev. A, 1996, 53(6):4528～4533
[6] K. Banaszek, C. Radzewicz, K. Wodkiewicz Direct et al.. Measurement of the wigner function by photon counting [J]. Phys. Rev. A, 1999, 60(1): 674～677
[7] D. T. Smithey, M. Beck, M.G. Raymer et al.. Measurement of the wigner distribution and the density matrix of a light mode using optical homodyne tomography Application to squeezed states and the vacuum[J].Phys.Rev.A,1993,70(9): 1244～1247
[8] D. Leibfried, D. M. Meekhof, B.E.King et al.. Experimental determination of the motional quantum state of a trapped atom [J]. Phys.Rev.Lett.,1996,77(21): 4281～4285
[9] G. Nogues, A. Rauschenbeutel, S. Osnaghi et al.. Measurement of a negative value for the wigner functions of radiation [J]. Phys. Rev. A, 2000, 62(5) : 054101～054103
[10] Meng Xiangguo, Wang Jisuo, Liang Baolong. Wigner function for the photon added even and odd coherent state[J]. Acta Physica Sinica, 2007, 56(4): 2160～2167
[11] Meng Xiangguo, Wang Jisuo, Liang Baolong. Wigner functions of two-mode excited squeezed vauccm states [J]. Acta Optica Sinica, 2007, 27(9):1070～1075
[13] Y. Takahashi, H.Umezawa. Thermo field dynamics [J]. Collective Phenomena, 1975, (2): 55～80
[14] H. Fearn, M. J. Collett. Representation of squeezed states with thermal noise[J]. Journal of Modern Optics, 1988, 35(3):553～564
[15] Fan Hongyi, Liang Xianting. Quantum fluctuation in thermal vacuum state for mesoscopic LC electric circuit [J]. Chin.Phys.Lett., 2000, 17(3): 174～176
[16] Li Hongqi, Xu Xinglei, Wang Jisuo. Quantum fluctuations of current and voltage for mesoscopic quartz piezoelectric crystal at finite temperature[J]. Chin.Phys.Lett., 2006, 23(11): 2892～2895
[17] Fan H Y. Application of weyl-wigner method in calculating thermal averages[J]. Commun. Theor. Phys., 1991, 16(1):123～128
[19] Department of Physics, Peking University. Quantum Statistical Physics[M]. Beijing: Peking University Press, 1987, 28
[20] Wang Baigen, Zhu Jianxin. Wigner functions for coherent and squeezed states with thermal noise[J]. Journal of Modern Optics,1993, 40(10):1917～1922
