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