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A generalized Collins formula derived by virtue of the displacement-squeezing related squeezed coherent state representation

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【Author】 Xie Chuan-Mei a)c),Fan Hong-Yi b),and Wan Shao-Long a) a) Institute for Theoretical Physics and Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China b) Department of Material Science and Engineering,University of Science and Technology of China,Hefei 230026,China c) College of Physics and Material Science,Anhui University,Hefei 230039,China

【机构】 Institute for Theoretical Physics and Department of Modern Physics,University of Science and Technology of China； College of Physics and Material Science,Anhui University； Department of Material Science and Engineering,University of Science and Technology of China；

【摘要】 Based on the displacement-squeezing related squeezed coherent state representation |z>g and using the technique of integration within an ordered product of operators,this paper finds a generalized Fresnel operator,whose matrix element in the coordinate representation leads to a generalized Collins formula (Huygens-Fresnel integration transformation describing optical diffraction).The generalized Fresnel operator is derived by a quantum mechanical mapping from z to sz-rz* in the |z>g representation,while |z>g in phase space is graphically denoted by an ellipse.更多还原

【Abstract】 Based on the displacement-squeezing related squeezed coherent state representation |z>g and using the technique of integration within an ordered product of operators,this paper finds a generalized Fresnel operator,whose matrix element in the coordinate representation leads to a generalized Collins formula (Huygens-Fresnel integration transformation describing optical diffraction).The generalized Fresnel operator is derived by a quantum mechanical mapping from z to sz-rz* in the |z>g representation,while |z>g in phase space is graphically denoted by an ellipse.更多还原

【关键词】 generalized Fresnel operator； generalized Collins formula； phase space； IWOP technique； squeezed coherent state；
【Key words】 generalized Fresnel operator； generalized Collins formula； phase space； IWOP technique； squeezed coherent state；

【基金】 Project supported by the National Natural Science Foundation of China (Grant Nos.10874174 and 10675108);the President Foundation of the Chinese Academy of Sciences;the Specilized Research Fund for the Doctorial Program of the Higher Education of China (Grant No.20070358009)

【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2010年06期

【分类号】O431.2
【下载频次】13

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