[1] Glauber R J.The Quantum Theory of Optical Coherence［J］.Phys Rev,1963,130: 2529-2539.DOI: https: ∥doi.org／10.1103／PhysRev.130.2529.

[2] Fan Hongyi.Squeezed States: Operators for Two Types of One-and Two-mode Squeezing Transformations［J］.Phys Rev A,1990, 41(3): 1526.DOI: https: ∥doi.org／10.1103／PhysRevA.41.1526.

[3] Fan H Y.Operator Ordering in Quantum Optics Theory and the Development of Dirac’s Symbolic Method［J］.J Opt B: Quantum Semiclass Opt,2003,5: 147-163.DOI: 10.1088／1464-4266／5／4／201.

[4] Wigner E.On the Quantum Correction for Thermodynamic Equations［J］.Phys Rev,1932,40(749).DOI: https: ∥doi.org／10.1103／PhysRev.40.749.

[5] Fan H Y,Ruan T N.Some Applications of the Coherent State Formulation of the Wigner Operator［J］.Commun Theor Phys,1984,3(3): 345-347.DOI: 10.1088／0253-6102／2／6／1563.

[6] Fan H Y,Ruan T N.Coherent State Formulation of the Weyl Correspondence and the Wigner Function［J］.Commun Theor Phys,1983,2(6): 1563-1574.DOI: 10.1088／0253-6102／2／6／1563.

[7] Fan H Y,Zaidi H R.Application of IWOP Technique to the Generalized Weyl Correspondence［J］.Phys Lett A,1987,124: 303-307.DOI: 10.1016／0375-9601(87) 90016-8.

[8] Zhang W M,Feng D H,Gilmore R.Coherent States: Theory and Some Applications［J］.Rev Mod Phys,1990,62(4): 867-927.DOI: 10.1103／revmodphys.62.867.

[9] FAN Hong Yi,Lu Hai Liang,FAN Yue.Newton-Leibniz Integration for Ket-bra Operators in Quantum Mechanics and Derivation of Entangled State Representations[J].Annals of Physics,2006,321(2): 480-494.DOI: 10.1016／j.aop.2005.09.011.

[10] FAN Hong Yi.Newton-Leibniz Integration for Ket-bra Operators (Ⅱ)-application in Deriving Density Operator and Generalized Partition Function Formula[J].Annals of Physics,2007,322(4): 866-885.DOI: 10.1016／j.aop.2006.05.003.

[11] FAN Hong Yi.Newton-Leibniz Integration for Ket-bra Operators (Ⅲ)-Application in Fermionic Quantum Statistics［J］.Annals of Physics,2007,322(4): 886-902.DOI: 10.1016／j.aop.2006.10.002.

[12] FAN Hong Yi.Newton-Leibniz Integration for Ket-bra Operators in Quantum Mechanics (Ⅳ)-Integrations Within Weyl Ordered Product of Operators and Their Applications［J］.Annals of Physics,2008,323(2): 500-526.DOI: 10.1016／j.aop.2007.06.003.

[13] FAN Hong Yi.Newton-Leibniz Integration for Ket-bra Operators in Quantum mechanics (Ⅴ)-Deriving Normally Ordered Bivariate-normal-distribution Form of Density Operators and Developing Their Phase Space Formalism［J］.Annals of Physics,2008,323(6): 1502-1528.DOI: 10.1016∥j.aop.2007.08.009.

[14] Fan Hong Yi, Zhang Peng Fei,Wang Zhen.Generating Function of Product of Bivariate Hermite Polynomials and Their Applications in Studying Quantum Optical States［J］.Chin Phys B,2015,24(5): 050303.DOI: 10.1088／1674-1056／24／5／050303.

[15] Jia Fang,Xu Shuang,Hu Li Yun,et al.New Approach to Generating Functions of Single-and Two-variable Even and Odd-Hermite Polynomials and Applications in Quantum Optics［J］.Modern Physics Letters B,2014,28(32): 1450249.DOI: 10.1142／s0217984914502492.

[16] Liu Zhi Guo.On a System of Partial Differential Equations and the Bivariate Hermite Polynomials［J］.J Math Anal Appl,2017,454: 1-17.DOI: 10.1016／j.jmaa.2017.04.066.

[17] 夏本翔,张鹏飞,范洪义.高斯增强型混沌光场的P-表示和Wigner函数[J].量子光学学报,2018,24(1): 1.DOI: 10.3788／jqo20182401.0101.