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Classical optics representation of the quantum mechanical translation operator via ABCD matrices

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons201146

Ornigotti,  Marco
Optics Theory Group, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons200999

Aiello,  Andrea
Optical Quantum Information Theory, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Ornigotti, M., & Aiello, A. (2013). Classical optics representation of the quantum mechanical translation operator via ABCD matrices. JOURNAL OF OPTICS, 15(7): 075715. doi:10.1088/2040-8978/15/7/075715.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-6751-6
Abstract
The ABCD matrix formalism describing paraxial propagation of optical beams across linear systems is generalized to arbitrary beam trajectories. As a by-product of this study, a one-to-one correspondence between the extended ABCD matrix formalism presented here and the quantum mechanical translation operator is established.