The Experts below are selected from a list of 300 Experts worldwide ranked by ideXlab platform
Hong-yi Fan - One of the best experts on this subject based on the ideXlab platform.
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The two-mode quantum Fresnel operator and the Multiplication Rule of 2D Collins diffraction formula
Chinese Physics B, 2012Co-Authors: Chuan-mei Xie, Hong-yi FanAbstract:By using the two-mode Fresnel operator we derive a Multiplication Rule of two-dimensional (2D) Collins diffraction formula, the inverse of 2D Collins diffraction integration can also be conveniently derived in this way in the context of quantum optics theory.
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Multiplication Rule for the Collins diffraction formula obtained by virtue of the Fresnel operator in quantum optics theory
Journal of Modern Optics, 2012Co-Authors: Hong-yi FanAbstract:By using the Fresnel operator we derive a Multiplication Rule for the Collins diffraction formula; the inverse of Collins diffraction integration can also be conveniently derived in this way in the context of quantum optics theory.
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Multiplication Rule of similarity transformations in the coherent state representation and its mapping onto quantum optical generalized abcd law
Optik, 2010Co-Authors: Shuguang Liu, Hong-yi FanAbstract:We find that classical similarity transformations in the coherent state representation projects onto the similarity transformation operators (STO), these operators constitute a loyal representation of symplectic group. Remarkably, the Multiplication Rule of the STOs naturally leads to the quantum optical generalized ABCD law, which is the quantum mechanical correspondence of the classical optical ABCD law. Throughout the whole derivation, the technique of integration within an ordered product (IWOP) of operators is employed.
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Collins diffraction formula studied in quantum optics
Optics letters, 2006Co-Authors: Hong-yi FanAbstract:We find that the Collins diffraction formula in cylindrical coordinates is just the transformation matrix element of a three-parameter two-mode squeezing operator in the deduced entangled state representation. This is a new tie connecting the unitary transform in quantum optics to the generalized Hankel transform in Fourier optics. The group Multiplication Rule of the squeezing operators maps to the Collins formula related to two successive Hankel transforms.
Ismael Yaseen Abdulridha Alasadi - One of the best experts on this subject based on the ideXlab platform.
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A Study On Problem Solving Using Bayes Theorem
International Journal of Research, 2016Co-Authors: Ismael Yaseen Abdulridha AlasadiAbstract:The study on understanding of Bayes’ Theorem and to use that knowledge to investigate practical problems in various professional fields. Provides a means for making probability calculations after revising probabilities when obtaining new information in an important phase of probability analysis. When given P(A) and P(ACB), one can calculate P(B/A) by manipulating the information in the Multiplication Rule. However, one could not calculate P(A/B). Similarly, when given P(B) and P(ACB), one can calculate P(A/B) by manipulating the information in the Multiplication Rule. There is where one can now apply Bayes’ Theorem.
Fan Hong-yi - One of the best experts on this subject based on the ideXlab platform.
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Fresnel-Transform's Quantum Correspondence and Quantum Optical ABCD Law
Chinese Physics Letters, 2007Co-Authors: Fan Hong-yi, Hu Li-yunAbstract:Corresponding to the Fresnel transform there exists a unitary operator in quantum optics theory, which could be known the Fresnel operator (FO). We show that the Multiplication Rule of the FO naturally leads to the quantum optical ABCD law. The canonical operator methods as mapping of ray-transfer ABCD matrix is explicitly shown by the normally ordered expansion of the FO through the coherent state representation and the technique of integration within an ordered product of operators. We show that time evolution of the damping oscillator embodies the quantum optical ABCD law.
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Fresnel-transform's quantum correspondence and quantum optical ABCD Law
arXiv: Quantum Physics, 2007Co-Authors: Fan Hong-yi, Hu Li-yunAbstract:Corresponding to Fresnel transform there exists a unitary operator in quantum optics theory, which could be named Fresnel operator (FO). We show that the Multiplication Rule of FO naturally leads to the quantum optical ABCD law. The canonical operator methods as mapping of ray-transfer ABCD matrix is explicitly shown by FO's normally ordered expansion through the coherent state representation and the technique of integration within an ordered product of operators. We show that time evolution of the damping oscillator embodies the quantum optical ABCD law.
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Nonlinear Squeezed States and Multiplication Rule of Nonlinear Squeezing Operators Gained via Nonlinear Coherent State Representation and IWOP Technique
Communications in Theoretical Physics, 2005Co-Authors: Fan Hong-yi, He Hai-yanAbstract:Using the nonlinear coherent state representation we derive nonlinear squeezed states and the Multiplication Rule of nonlinear squeezing operators. We find that the symplectic matrices Multiplication Rule in nonlinear coherent state projection operator representation maps into the Multiplication Rule of successive nonlinear squeezing operators. The technique of integral within an ordered product of operators plays an essential role in deriving the Multiplication Rule.
Hu Li-yun - One of the best experts on this subject based on the ideXlab platform.
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Fresnel-Transform's Quantum Correspondence and Quantum Optical ABCD Law
Chinese Physics Letters, 2007Co-Authors: Fan Hong-yi, Hu Li-yunAbstract:Corresponding to the Fresnel transform there exists a unitary operator in quantum optics theory, which could be known the Fresnel operator (FO). We show that the Multiplication Rule of the FO naturally leads to the quantum optical ABCD law. The canonical operator methods as mapping of ray-transfer ABCD matrix is explicitly shown by the normally ordered expansion of the FO through the coherent state representation and the technique of integration within an ordered product of operators. We show that time evolution of the damping oscillator embodies the quantum optical ABCD law.
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Fresnel-transform's quantum correspondence and quantum optical ABCD Law
arXiv: Quantum Physics, 2007Co-Authors: Fan Hong-yi, Hu Li-yunAbstract:Corresponding to Fresnel transform there exists a unitary operator in quantum optics theory, which could be named Fresnel operator (FO). We show that the Multiplication Rule of FO naturally leads to the quantum optical ABCD law. The canonical operator methods as mapping of ray-transfer ABCD matrix is explicitly shown by FO's normally ordered expansion through the coherent state representation and the technique of integration within an ordered product of operators. We show that time evolution of the damping oscillator embodies the quantum optical ABCD law.
Hailiang Lu - One of the best experts on this subject based on the ideXlab platform.
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quantum correspondence of the mixed lenz fresnel transform in classical optics
Physics Letters A, 2006Co-Authors: Xubing Tang, Hailiang LuAbstract:Abstract We find the quantum correspondence (a four-parameter squeezing operator U ( r , s , μ ) ) of the mixed optical Lenz–Fresnel transform, i.e. that the kernel of Lenz–Fresnel transform is just the matrix element of U ( r , s , μ ) in the entangled states. The group Multiplication Rule of U ( r , s , μ ) is proved by virtue of its coherent entangled state representation which is essential to this correspondence.
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Quantum correspondence of the mixed Lenz–Fresnel transform in classical optics
Physics Letters A, 2006Co-Authors: Xubing Tang, Hailiang LuAbstract:Abstract We find the quantum correspondence (a four-parameter squeezing operator U ( r , s , μ ) ) of the mixed optical Lenz–Fresnel transform, i.e. that the kernel of Lenz–Fresnel transform is just the matrix element of U ( r , s , μ ) in the entangled states. The group Multiplication Rule of U ( r , s , μ ) is proved by virtue of its coherent entangled state representation which is essential to this correspondence.
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classical optical transforms studied in the context of quantum optics via the route of developing dirac s symbolic method
International Journal of Modern Physics B, 2005Co-Authors: Hailiang LuAbstract:Via the route of developing Dirac's symbolic method and following Dirac's assertion: "⋯ for a quantum dynamic system that has a classical analogue, unitary transformation in the quantum theory is the analogue of contact transformation in the classical theory", we find the generalized Fresnel operator (GFO) corresponding to the generalized Fresnel transform (GFT) in classical optics. We derive GFO's normal product form and its canonical coherent state representation and find that GFO is the loyal representation of symplectic group Multiplication Rule. We show that GFT is just the transformation matrix element of GFO in the coordinate representation such that two successive GFTs is still a GFT. The ABCD Rule of the Gaussian beam propagation is directly demonstrated in quantum optics. With the aid of entangled state representation the entangled Fresnel transform is proposed; new eigenfunctions of the complex fractional Fourier transform and fractional Hankel transform are obtained; the two-variable Hermite eigenmodes of light propagation are used in studying the Talbot effect in quadratic-index media; the complex wavelet transform and the condition of mother wavelet are studied in the context of quantum optics too. Moreover, quantum optical version of classical z-transforms is obtained on the basis of the eigenvector of creation operator. Throughout our discussions, the coherent state, squeezing operators and the technique of integration within an ordered product (IWOP) of operators are fully used.
