The Majorana formula and the Landau – Zener – Stückelberg treatment of the avoided crossing problem

E.E. Nikitin^a, b, F.D. Dzhakomo^c
^aMax-Planck Institut für Biophysikalische Chemie, Tammannstrasse 6, Göttingen, D-37077, Germany
^bDepartment of Chemistry, Technion-Israel Institute of Technology, Haifa, Israel
^cDepartment of Chemical Engineering and Materials, University of Rome ‘La Sapienza’, Via del Castro Laurenziano 7, Rome, I-00161, Italy

The Majorana formula for the probability of spin- flipping in a time-dependent magnetic field which almost vanishes at a certain moment is discussed in connection with the celebrated work by Landau, Zener, and Stuückelberg for nonadiabatic dynamics in the avoided crossing situation.

PACS: 01.40.−d, 01.65.+g, 03.65.−w (all)
DOI: 10.1070/PU2005v048n05ABEH002804
URL: https://ufn.ru/en/articles/2005/5/e/
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000231918300005
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2005PhyU...48..515D
Citation: Nikitin E E, Dzhakomo F D "The Majorana formula and the Landau-Zener-Stückelberg treatment of the avoided crossing problem" Phys. Usp. 48 515–517 (2005)

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Оригинал: Джакомо Ф Д, Никитин Е Е «Формула Майораны и задача Ландау-Зинера-Штюкельберга о квазипересечении уровней» УФН 175 545–547 (2005); DOI: 10.3367/UFNr.0175.200505f.0545