{"year":"2018","date_published":"2018-04-18T00:00:00Z","status":"public","ec_funded":1,"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1801.06892","open_access":"1"}],"intvolume":"        97","citation":{"mla":"Fratini, Filippo, et al. “Two-Photon Processes Based on Quantum Commutators.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 97, no. 4, American Physical Society, 2018, doi:<a href=\"https://doi.org/10.1103/PhysRevA.97.043842\">10.1103/PhysRevA.97.043842</a>.","apa":"Fratini, F., Safari, L., Amaro, P., &#38; Santos, J. (2018). Two-photon processes based on quantum commutators. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.97.043842\">https://doi.org/10.1103/PhysRevA.97.043842</a>","ieee":"F. Fratini, L. Safari, P. Amaro, and J. Santos, “Two-photon processes based on quantum commutators,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 97, no. 4. American Physical Society, 2018.","ama":"Fratini F, Safari L, Amaro P, Santos J. Two-photon processes based on quantum commutators. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2018;97(4). doi:<a href=\"https://doi.org/10.1103/PhysRevA.97.043842\">10.1103/PhysRevA.97.043842</a>","chicago":"Fratini, Filippo, Laleh Safari, Pedro Amaro, and José Santos. “Two-Photon Processes Based on Quantum Commutators.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2018. <a href=\"https://doi.org/10.1103/PhysRevA.97.043842\">https://doi.org/10.1103/PhysRevA.97.043842</a>.","short":"F. Fratini, L. Safari, P. Amaro, J. Santos, Physical Review A - Atomic, Molecular, and Optical Physics 97 (2018).","ista":"Fratini F, Safari L, Amaro P, Santos J. 2018. Two-photon processes based on quantum commutators. Physical Review A - Atomic, Molecular, and Optical Physics. 97(4)."},"author":[{"last_name":"Fratini","full_name":"Fratini, Filippo","first_name":"Filippo"},{"full_name":"Safari, Laleh","last_name":"Safari","id":"3C325E5E-F248-11E8-B48F-1D18A9856A87","first_name":"Laleh"},{"first_name":"Pedro","last_name":"Amaro","full_name":"Amaro, Pedro"},{"first_name":"José","last_name":"Santos","full_name":"Santos, José"}],"article_processing_charge":"No","publisher":"American Physical Society","abstract":[{"text":"We developed a 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 lets us derive general results concerning light scattering. Finally, possible extensions to the developed formalism are discussed.","lang":"eng"}],"doi":"10.1103/PhysRevA.97.043842","oa_version":"Submitted Version","date_created":"2018-12-11T11:45:40Z","day":"18","publication_status":"published","issue":"4","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","department":[{"_id":"MiLe"}],"isi":1,"arxiv":1,"type":"journal_article","date_updated":"2025-04-15T06:50:21Z","project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"}],"publist_id":"7587","scopus_import":"1","month":"04","_id":"294","title":"Two-photon processes based on quantum commutators","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","oa":1,"volume":97,"quality_controlled":"1","external_id":{"arxiv":["1801.06892"],"isi":["000430296800008"]}}