Weyl Ordering of Two-Mode Fresnel Operator and Its Applications |
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Authors: | Jian-ming Du Jian-guo Ma Gang Ren |
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Affiliation: | 1. Department of Physics and Electronic Information, Huainan Normal University, Huainan, 232001, People’s Republic of China
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Abstract: | By using the Weyl ordering operator formula and the Weyl transformation rule, we derive Weyl ordering of the two-mode Fresnel operator, and then obtain its matrix element in the coordinate representation, which is the integral kernel of the generalized two-mode Fresnel transformation in classical optics. By means of the optical operator method, we obtain a decomposition of the two-mode Fresnel operator’s Weyl ordering and an operator identity. |
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