{"oa_version":"Submitted Version","project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"}],"issue":"4","scopus_import":"1","status":"public","year":"2018","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","type":"journal_article","volume":97,"date_published":"2018-04-18T00:00:00Z","citation":{"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>","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).","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.","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>.","short":"F. Fratini, L. Safari, P. Amaro, J. Santos, Physical Review A - Atomic, Molecular, and Optical Physics 97 (2018).","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>.","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>"},"abstract":[{"lang":"eng","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."}],"oa":1,"date_created":"2018-12-11T11:45:40Z","intvolume":"        97","publisher":"American Physical Society","author":[{"last_name":"Fratini","full_name":"Fratini, Filippo","first_name":"Filippo"},{"first_name":"Laleh","id":"3C325E5E-F248-11E8-B48F-1D18A9856A87","full_name":"Safari, Laleh","last_name":"Safari"},{"first_name":"Pedro","full_name":"Amaro, Pedro","last_name":"Amaro"},{"last_name":"Santos","full_name":"Santos, José","first_name":"José"}],"external_id":{"arxiv":["1801.06892"],"isi":["000430296800008"]},"article_processing_charge":"No","department":[{"_id":"MiLe"}],"title":"Two-photon processes based on quantum commutators","doi":"10.1103/PhysRevA.97.043842","publication_status":"published","date_updated":"2023-09-19T10:17:56Z","publist_id":"7587","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1801.06892"}],"_id":"294","month":"04","quality_controlled":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","day":"18","ec_funded":1,"isi":1,"language":[{"iso":"eng"}]}