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

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

2007-05-29

arxiv.org/abs/0705.4184v1

Physics

Quantum Physics

6 pages and no figure

Scientific paper

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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