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Isomorphism of the Wigner distribution function and the canonical ABCD integral transformation

机译：Wigner分布函数的同构与经典ABCD积分变换

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Abstract: This paper introduces the group theory and the isomorphism concept in order to demonstrate how to bypass and simplify scientific difficulties using these tools. The isomorphism relationship which is being investigated by this paper is the one existing between the Wigner distribution function and the canonical ABCD integral transformation.!0

机译：摘要：本文介绍了群论和同构概念，以演示如何绕过和简化使用这些工具的科学难题。本文正在研究的同构关系是Wigner分布函数与规范ABCD积分变换之间存在的关系！0

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《International optical design conference》|1998年|p.99-102|共4页
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Adolf W. Lohmann; Erlangen Univ.; Erlangen; Germany; David Mendlovic; Tel-Aviv Univ.; Tel Aviv; Israel; Zeev Zalevsky; Tel-Aviv Univ.; Tel Aviv; Israel.;
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中图分类无线电电子学、电信技术;
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2. The Wigner distribution function of a Lorentz-Gauss vortex beam passing through a paraxial ABCD optical system [J] . Zhou Yimin, Zhou Guoquan, Dai Chaoqing, Laser Physics: An International Journal devoted to Theoretical and Experimental Laser Research and Application . 2015,第3期

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3. The Wigner distribution function of a super Lorentz-Gauss SLG11 beam through a paraxial ABCD optical system [J] . Zhou Yi-Min, Zhou Guo-Quan 中国物理：英文版 . 2013,第010期

机译：通过近轴ABCD光学系统的超级洛仑兹-高斯SLG11光束的Wigner分布函数
4. Isomorphism of the wigner distribution function and the canonical ABCD integral transformation [C] . Adolf W. Lohmann, David Mendlovic, Zeev Zalevsky International optical design conference . 1998

机译：Wigner分布函数的同构和规范ABCD积分变换
5. THE WIGNER DISTRIBUTION AND THE AMBIGUITY FUNCTION: GENERALIZATIONS, ENHANCEMENT, COMPRESSION AND SOME APPLICATIONS (SIGNAL PROCESSING, PATTERN RECOGNITION, COMPUTER VISION, MEDICAL ULTRASONICS). [D] . MARINOVIC, NENAD M. 1986

机译：威格纳分布和歧义函数：广义，增强，压缩和某些应用（信号处理，模式识别，计算机视觉，医学超声）。
6. Ion and solvent density distributions around canonical B-DNA from integral equations [O] . Jesse J. Howard, Gillian C. Lynch, B. Montgomery Pettitt -1

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7. Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics [O] . Marcos Moshinsky, Dieter Schuch 2008

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8. Canonical Transformations in Quantum Mechanics. A Canonically Invariant Path Integral [R] . Shiekh, A. Y. 1987

机译：量子力学中的典型变换。一个经典不变路径积分

Isomorphism of the Wigner distribution function and the canonical ABCD integral transformation

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