{"database":"biostudies-literature","file_versions":[],"scores":null,"additional":{"submitter":["Kofman PO"],"funding":["Foundational Questions Institute Fun","Asian Office of Aerospace Research and Development","Army Research Office","the Army Research Office","Japan Society for the Promotion of Science<","Nippon Telegraph and Telephone Corporation (NTT) Research, the Japan Science and Technology Agency"],"pagination":["5053"],"full_dataset_link":["https://www.ebi.ac.uk/biostudies/studies/S-EPMC10050008"],"repository":["biostudies-literature"],"omics_type":["Unknown"],"volume":["13(1)"],"pubmed_abstract":["The approach by Ettore Majorana for non-adiabatic transitions between two quasi-crossing levels is revisited and significantly extended. We rederive the transition probability, known as the Landau-Zener-Stückelberg-Majorana formula, and introduce Majorana's approach to modern readers. This result, typically referred as the Landau-Zener formula, was published by Majorana before Landau, Zener and Stückelberg. Moreover, we go well beyond previous results and we now obtain the full wave function, including its phase, which is important nowadays for quantum control and quantum information. The asymptotic wave function correctly describes the dynamics away from the avoided-level crossing, while it has limited accuracy in that region."],"journal":["Scientific reports"],"pubmed_title":["Majorana's approach to nonadiabatic transitions validates the adiabatic-impulse approximation."],"pmcid":["PMC10050008"],"funding_grant_id":["JPMJMS2061","FA2386-20-1-4069","W911NF-20-1- 0261","FQXi-IAF19-06","P20H00134","W911NF-18-1-0358"],"pubmed_authors":["Kofman PO","Ivakhnenko OV","Nori F","Shevchenko SN"],"additional_accession":[]},"is_claimable":false,"name":"Majorana's approach to nonadiabatic transitions validates the adiabatic-impulse approximation.","description":"The approach by Ettore Majorana for non-adiabatic transitions between two quasi-crossing levels is revisited and significantly extended. We rederive the transition probability, known as the Landau-Zener-Stückelberg-Majorana formula, and introduce Majorana's approach to modern readers. This result, typically referred as the Landau-Zener formula, was published by Majorana before Landau, Zener and Stückelberg. Moreover, we go well beyond previous results and we now obtain the full wave function, including its phase, which is important nowadays for quantum control and quantum information. The asymptotic wave function correctly describes the dynamics away from the avoided-level crossing, while it has limited accuracy in that region.","dates":{"release":"2023-01-01T00:00:00Z","publication":"2023 Mar","modification":"2025-04-06T02:20:46.635Z","creation":"2025-02-19T00:13:49.536Z"},"accession":"S-EPMC10050008","cross_references":{"pubmed":["36977739"],"doi":["10.1038/s41598-023-31084-y"]}}