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中文摘要：
用申请人已提出的有序算符内的积分理论(IWOP)来实现1)Dirac符号法的发展与其在量子统计的应用；2）构造多种新纠缠态表象及其物理应用。在1)方面，通过建立算符Fredholm积分方程(以往只有函数Fredholm方程)并用纠缠态表象解之，就给出密度矩阵各个经典表示之间的新关系；用IWOP将符号法与数理统计学相结合，进一步发展量子相空间理论和量子态的断层摄影术。在2）方面，除了赋予自己提出的双模纠缠态表象的基函数的物理解释外，将以全新的观点即用纠缠态表象分析和解决若干重要的物理问题如玻色－爱因斯坦凝聚中的相态，以更好地理解凝聚体之间的干涉；量子计算器中有Josephson结的电路量子化理论；量子系统演化中的退相干问题；纠缠Wigner函数在光分束器的变化特性；类比双模纠缠算符提出纠缠－辛小波变换；用多模纠缠态表象构造多模压缩算符.对不同的物理仪器与物理过程用IWOP构建新的纠缠态。
结论摘要：
英文主题词entangled state representation;Dirac's symbolic method; the IWOP technique
成果综合统计
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期刊论文
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Generalized multi-mode bosonic realization of the SU(1,1) algebra and its corresponding squeezing op
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Mean energy of some interacting bosonic systems derived by virtue of the generalized Hellmann-Feynma
CALCULATION OF ENTROPY FOR SOME COUPLED OSCILLATORS BY USING THE GENERALIZED HELLMANN-FEYNMAN THEORE
Deriving new operator identities by alternately using normally, antinormally, and Weyl ordered integ
New transformation of Wigner operator in phase space quantum mechanics for the two-mode entangled ca
Unifying the theory of integration within normal-, Weyl- and antinormal-ordering of operators and th
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A New Kind of Two-Fold Integration Transformation in Phase Space and Its Uses in Weyl Ordering of Op
Two-Variable Hermite Polynomial Excitation of Two-Mode Squeezed Vacuum State as Squeezed Two-Mode Nu
New approach for analyzing time evolution of density operator in a dissipative channel by the entang
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Wavelet transform in the context of quantum mechanics and new orthogonal property of mother wavelets
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Deformation of Superoperator's Kraus Representation Derived by Weyl Correspondence and Entangled Sta
Adaption of Collins formula to fractional Fourier transform studied in the entangled state represent
Two-mode squeezed number state as a two-variable Hermite-polynomial excitation on the squeezed vacuu
Newton-Leibniz integration for ket-bra operators in quantum mechanics (V) - Deriving normally ordere
Eigenfunctions of the complex fractional Fourier transform obtained in the context of quantum optics
ABCD rule involved in the product of general SU(1,1) squeezing operators and quantum states' Fresnel
Finding and disentangling complicated unitary operators by virtue of the integration over Dirac's ke
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