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Two-photon Processes Based on Quantum Commutators by Fratini, Filippo; Safari, Laleh; Amaro, Pedro; Santos, José-Paulo is a scholarly article available to read on EtoBox.

What is Two-photon Processes Based on Quantum Commutators about?

We developed a new method to calculate two-photon processes in quantum mechanics that replaces the infinite summation over the intermediate states by a perturbation expansion. This latter consists of a series of commutators that involve position, momentum and hamiltonian quantum operators. We analyzed several single- and many-particle cases for which a closed form solution to the perturbation expansion exists, as well as more complicated cases for which a solution is found by convergence. Throughout the article, Rayleigh and Raman scattering are taken as examples of two-photon processes. The present method provides a clear distinction between the Thomson scattering, regarded as classical scattering, and quantum contributions. Such a distinction let us derive general results concerning light scattering. Finally, possible extensions to the developed formalism are discussed.

Author

Fratini, Filippo; Safari, Laleh; Amaro, Pedro; Santos, José-Paulo

Published

2018

Language

EN