Fresnel-transform's quantum correspondence and quantum optical ABCD Law

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dc.creatorHongyi, Fan
dc.creatorLiyun, Hu
dc.date2007-05-29
dc.date.accessioned2026-07-07T08:03:28Z
dc.date.available2026-07-07T08:03:28Z
dc.descriptionCorresponding 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.
dc.description6 pages and no figure
dc.identifierhttps://arxiv.org/abs/0705.4184
dc.identifierhttp://arxiv.org/abs/0705.4184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129595
dc.subjectQuantum Physics
dc.titleFresnel-transform's quantum correspondence and quantum optical ABCD Law
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