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Journal of Russian Laser Research

, Volume 39, Issue 4, pp 318–324 | Cite as

Is there a Problem with our Hamiltonians for Quantum Nonlinear Optical Processes?

  • Stephen M. Barnett
Article
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Abstract

The models we use, habitually, to describe quantum nonlinear optical processes have been remarkably successful, yet, with few exceptions, they each contain a mathematical flaw. We present this flaw, show how it can be fixed, and, in the process, suggest why we can continue to use our favored Hamiltonians.

Keywords

quantum optics nonlinear optics model Hamiltonians three-wave mixing 
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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Physics and AstronomyUniversity of GlasgowGlasgowU.K.

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